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Finding the Fourth Proportional to 536.71, 740.80 and 340.33

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Solution

The fourth proportional to 536.71, 740.80 and 340.33 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 740.80 = 340.33 : x
  2. Step 2: Convert to fraction form
    536.71/740.80 = 340.33/x
  3. Step 3: Cross multiply
    536.71x = 740.80 × 340.33
  4. Step 4: Simplify right side
    536.71x = 252,116.46
  5. Step 5: Solve for x
    x = 252,116.46/536.71
  6. Step 6: Final answer
    x = 469.74

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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.