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Finding the Fourth Proportional to 500.89, 691.03 and 353.47

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Solution

The fourth proportional to 500.89, 691.03 and 353.47 is: 487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.89 : 691.03 = 353.47 : x
  2. Step 2: Convert to fraction form
    500.89/691.03 = 353.47/x
  3. Step 3: Cross multiply
    500.89x = 691.03 × 353.47
  4. Step 4: Simplify right side
    500.89x = 244,258.37
  5. Step 5: Solve for x
    x = 244,258.37/500.89
  6. Step 6: Final answer
    x = 487.65

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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.