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Finding the Fourth Proportional to 501.54, 691.02 and 353.88

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Solution

The fourth proportional to 501.54, 691.02 and 353.88 is: 487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.54 : 691.02 = 353.88 : x
  2. Step 2: Convert to fraction form
    501.54/691.02 = 353.88/x
  3. Step 3: Cross multiply
    501.54x = 691.02 × 353.88
  4. Step 4: Simplify right side
    501.54x = 244,538.16
  5. Step 5: Solve for x
    x = 244,538.16/501.54
  6. Step 6: Final answer
    x = 487.57

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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.