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Finding the Fourth Proportional to 644.87, 966.82 and 315.71

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Solution

The fourth proportional to 644.87, 966.82 and 315.71 is: 473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.87 : 966.82 = 315.71 : x
  2. Step 2: Convert to fraction form
    644.87/966.82 = 315.71/x
  3. Step 3: Cross multiply
    644.87x = 966.82 × 315.71
  4. Step 4: Simplify right side
    644.87x = 305,230.62
  5. Step 5: Solve for x
    x = 305,230.62/644.87
  6. Step 6: Final answer
    x = 473.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.