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Finding the Fourth Proportional to 644.42, 966.87 and 384.38

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Solution

The fourth proportional to 644.42, 966.87 and 384.38 is: 576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.42 : 966.87 = 384.38 : x
  2. Step 2: Convert to fraction form
    644.42/966.87 = 384.38/x
  3. Step 3: Cross multiply
    644.42x = 966.87 × 384.38
  4. Step 4: Simplify right side
    644.42x = 371,645.49
  5. Step 5: Solve for x
    x = 371,645.49/644.42
  6. Step 6: Final answer
    x = 576.71

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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.