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Finding the Fourth Proportional to 659.02, 909.14 and 462.78

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Solution

The fourth proportional to 659.02, 909.14 and 462.78 is: 638.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.02 : 909.14 = 462.78 : x
  2. Step 2: Convert to fraction form
    659.02/909.14 = 462.78/x
  3. Step 3: Cross multiply
    659.02x = 909.14 × 462.78
  4. Step 4: Simplify right side
    659.02x = 420,731.81
  5. Step 5: Solve for x
    x = 420,731.81/659.02
  6. Step 6: Final answer
    x = 638.42

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Double scale
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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.