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Finding the Fourth Proportional to 498.52, 687.16 and 393.43

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Solution

The fourth proportional to 498.52, 687.16 and 393.43 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.52 : 687.16 = 393.43 : x
  2. Step 2: Convert to fraction form
    498.52/687.16 = 393.43/x
  3. Step 3: Cross multiply
    498.52x = 687.16 × 393.43
  4. Step 4: Simplify right side
    498.52x = 270,349.36
  5. Step 5: Solve for x
    x = 270,349.36/498.52
  6. Step 6: Final answer
    x = 542.30

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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.