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Finding the Fourth Proportional to 644.32, 966.84 and 451.60

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Solution

The fourth proportional to 644.32, 966.84 and 451.60 is: 677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 966.84 = 451.60 : x
  2. Step 2: Convert to fraction form
    644.32/966.84 = 451.60/x
  3. Step 3: Cross multiply
    644.32x = 966.84 × 451.60
  4. Step 4: Simplify right side
    644.32x = 436,624.94
  5. Step 5: Solve for x
    x = 436,624.94/644.32
  6. Step 6: Final answer
    x = 677.65

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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.