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Finding the Fourth Proportional to 524.43, 723.92 and 349.71

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Solution

The fourth proportional to 524.43, 723.92 and 349.71 is: 482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.43 : 723.92 = 349.71 : x
  2. Step 2: Convert to fraction form
    524.43/723.92 = 349.71/x
  3. Step 3: Cross multiply
    524.43x = 723.92 × 349.71
  4. Step 4: Simplify right side
    524.43x = 253,160.31
  5. Step 5: Solve for x
    x = 253,160.31/524.43
  6. Step 6: Final answer
    x = 482.73

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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.