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Finding the Fourth Proportional to 536.76, 741.14 and 406.41

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Solution

The fourth proportional to 536.76, 741.14 and 406.41 is: 561.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.76 : 741.14 = 406.41 : x
  2. Step 2: Convert to fraction form
    536.76/741.14 = 406.41/x
  3. Step 3: Cross multiply
    536.76x = 741.14 × 406.41
  4. Step 4: Simplify right side
    536.76x = 301,204.68
  5. Step 5: Solve for x
    x = 301,204.68/536.76
  6. Step 6: Final answer
    x = 561.15

Related Problems

Find fourth proportional to 268.38, 370.57 and 203.21
Half scale
Find fourth proportional to 1,073.52, 1,482.27 and 812.82
Double scale
Find fourth proportional to 537.76, 742.52 and 407.41
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.