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Finding the Fourth Proportional to 659.23, 909.45 and 462.87

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Solution

The fourth proportional to 659.23, 909.45 and 462.87 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.23 : 909.45 = 462.87 : x
  2. Step 2: Convert to fraction form
    659.23/909.45 = 462.87/x
  3. Step 3: Cross multiply
    659.23x = 909.45 × 462.87
  4. Step 4: Simplify right side
    659.23x = 420,957.12
  5. Step 5: Solve for x
    x = 420,957.12/659.23
  6. Step 6: Final answer
    x = 638.56

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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.