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Finding the Fourth Proportional to 514.38, 772.62 and 437.46

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Solution

The fourth proportional to 514.38, 772.62 and 437.46 is: 657.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.38 : 772.62 = 437.46 : x
  2. Step 2: Convert to fraction form
    514.38/772.62 = 437.46/x
  3. Step 3: Cross multiply
    514.38x = 772.62 × 437.46
  4. Step 4: Simplify right side
    514.38x = 337,990.35
  5. Step 5: Solve for x
    x = 337,990.35/514.38
  6. Step 6: Final answer
    x = 657.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.