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Finding the Fourth Proportional to 644.25, 966.25 and 314.86

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Solution

The fourth proportional to 644.25, 966.25 and 314.86 is: 472.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.25 : 966.25 = 314.86 : x
  2. Step 2: Convert to fraction form
    644.25/966.25 = 314.86/x
  3. Step 3: Cross multiply
    644.25x = 966.25 × 314.86
  4. Step 4: Simplify right side
    644.25x = 304,233.48
  5. Step 5: Solve for x
    x = 304,233.48/644.25
  6. Step 6: Final answer
    x = 472.23

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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.