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Finding the Fourth Proportional to 501.90, 691.33 and 354.27

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Solution

The fourth proportional to 501.90, 691.33 and 354.27 is: 487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.90 : 691.33 = 354.27 : x
  2. Step 2: Convert to fraction form
    501.90/691.33 = 354.27/x
  3. Step 3: Cross multiply
    501.90x = 691.33 × 354.27
  4. Step 4: Simplify right side
    501.90x = 244,917.48
  5. Step 5: Solve for x
    x = 244,917.48/501.90
  6. Step 6: Final answer
    x = 487.98

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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.