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Finding the Fourth Proportional to 659.10, 908.70 and 462.89

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Solution

The fourth proportional to 659.10, 908.70 and 462.89 is: 638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.10 : 908.70 = 462.89 : x
  2. Step 2: Convert to fraction form
    659.10/908.70 = 462.89/x
  3. Step 3: Cross multiply
    659.10x = 908.70 × 462.89
  4. Step 4: Simplify right side
    659.10x = 420,623.60
  5. Step 5: Solve for x
    x = 420,623.60/659.10
  6. Step 6: Final answer
    x = 638.18

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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.