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Finding the Fourth Proportional to 638.72, 956.38 and 514.66

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Solution

The fourth proportional to 638.72, 956.38 and 514.66 is: 770.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.72 : 956.38 = 514.66 : x
  2. Step 2: Convert to fraction form
    638.72/956.38 = 514.66/x
  3. Step 3: Cross multiply
    638.72x = 956.38 × 514.66
  4. Step 4: Simplify right side
    638.72x = 492,210.53
  5. Step 5: Solve for x
    x = 492,210.53/638.72
  6. Step 6: Final answer
    x = 770.62

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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.