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Finding the Fourth Proportional to 644.73, 966.87 and 315.42

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Solution

The fourth proportional to 644.73, 966.87 and 315.42 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 966.87 = 315.42 : x
  2. Step 2: Convert to fraction form
    644.73/966.87 = 315.42/x
  3. Step 3: Cross multiply
    644.73x = 966.87 × 315.42
  4. Step 4: Simplify right side
    644.73x = 304,970.14
  5. Step 5: Solve for x
    x = 304,970.14/644.73
  6. Step 6: Final answer
    x = 473.02

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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.