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Finding the Fourth Proportional to 644.16, 966.70 and 461.71

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Solution

The fourth proportional to 644.16, 966.70 and 461.71 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 966.70 = 461.71 : x
  2. Step 2: Convert to fraction form
    644.16/966.70 = 461.71/x
  3. Step 3: Cross multiply
    644.16x = 966.70 × 461.71
  4. Step 4: Simplify right side
    644.16x = 446,336.84
  5. Step 5: Solve for x
    x = 446,336.84/644.16
  6. Step 6: Final answer
    x = 692.89

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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.