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Finding the Fourth Proportional to 536.74, 740.42 and 315.47

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Solution

The fourth proportional to 536.74, 740.42 and 315.47 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.74 : 740.42 = 315.47 : x
  2. Step 2: Convert to fraction form
    536.74/740.42 = 315.47/x
  3. Step 3: Cross multiply
    536.74x = 740.42 × 315.47
  4. Step 4: Simplify right side
    536.74x = 233,583.53
  5. Step 5: Solve for x
    x = 233,583.53/536.74
  6. Step 6: Final answer
    x = 435.19

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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.