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Finding the Fourth Proportional to 644.96, 966.51 and 508.28

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Solution

The fourth proportional to 644.96, 966.51 and 508.28 is: 761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.96 : 966.51 = 508.28 : x
  2. Step 2: Convert to fraction form
    644.96/966.51 = 508.28/x
  3. Step 3: Cross multiply
    644.96x = 966.51 × 508.28
  4. Step 4: Simplify right side
    644.96x = 491,257.70
  5. Step 5: Solve for x
    x = 491,257.70/644.96
  6. Step 6: Final answer
    x = 761.69

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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.