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Finding the Fourth Proportional to 659.31, 910.14 and 473.73

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Solution

The fourth proportional to 659.31, 910.14 and 473.73 is: 653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.31 : 910.14 = 473.73 : x
  2. Step 2: Convert to fraction form
    659.31/910.14 = 473.73/x
  3. Step 3: Cross multiply
    659.31x = 910.14 × 473.73
  4. Step 4: Simplify right side
    659.31x = 431,160.62
  5. Step 5: Solve for x
    x = 431,160.62/659.31
  6. Step 6: Final answer
    x = 653.96

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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.