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Finding the Fourth Proportional to 529.71, 731.16 and 343.21

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Solution

The fourth proportional to 529.71, 731.16 and 343.21 is: 473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.71 : 731.16 = 343.21 : x
  2. Step 2: Convert to fraction form
    529.71/731.16 = 343.21/x
  3. Step 3: Cross multiply
    529.71x = 731.16 × 343.21
  4. Step 4: Simplify right side
    529.71x = 250,941.42
  5. Step 5: Solve for x
    x = 250,941.42/529.71
  6. Step 6: Final answer
    x = 473.73

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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.