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Finding the Fourth Proportional to 659.38, 909.13 and 462.96

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Solution

The fourth proportional to 659.38, 909.13 and 462.96 is: 638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.38 : 909.13 = 462.96 : x
  2. Step 2: Convert to fraction form
    659.38/909.13 = 462.96/x
  3. Step 3: Cross multiply
    659.38x = 909.13 × 462.96
  4. Step 4: Simplify right side
    659.38x = 420,890.82
  5. Step 5: Solve for x
    x = 420,890.82/659.38
  6. Step 6: Final answer
    x = 638.31

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1.5x scale

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.