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Finding the Fourth Proportional to 657.72, 986.10 and 414.12

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Solution

The fourth proportional to 657.72, 986.10 and 414.12 is: 620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 986.10 = 414.12 : x
  2. Step 2: Convert to fraction form
    657.72/986.10 = 414.12/x
  3. Step 3: Cross multiply
    657.72x = 986.10 × 414.12
  4. Step 4: Simplify right side
    657.72x = 408,363.73
  5. Step 5: Solve for x
    x = 408,363.73/657.72
  6. Step 6: Final answer
    x = 620.88

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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.