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Finding the Fourth Proportional to 644.13, 966.16 and 397.38

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Solution

The fourth proportional to 644.13, 966.16 and 397.38 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.13 : 966.16 = 397.38 : x
  2. Step 2: Convert to fraction form
    644.13/966.16 = 397.38/x
  3. Step 3: Cross multiply
    644.13x = 966.16 × 397.38
  4. Step 4: Simplify right side
    644.13x = 383,931.67
  5. Step 5: Solve for x
    x = 383,931.67/644.13
  6. Step 6: Final answer
    x = 596.05

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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.