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Finding the Fourth Proportional to 659.14, 909.66 and 462.70

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Solution

The fourth proportional to 659.14, 909.66 and 462.70 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 909.66 = 462.70 : x
  2. Step 2: Convert to fraction form
    659.14/909.66 = 462.70/x
  3. Step 3: Cross multiply
    659.14x = 909.66 × 462.70
  4. Step 4: Simplify right side
    659.14x = 420,899.68
  5. Step 5: Solve for x
    x = 420,899.68/659.14
  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.