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Finding the Fourth Proportional to 514.77, 772.16 and 437.55

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Solution

The fourth proportional to 514.77, 772.16 and 437.55 is: 656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.77 : 772.16 = 437.55 : x
  2. Step 2: Convert to fraction form
    514.77/772.16 = 437.55/x
  3. Step 3: Cross multiply
    514.77x = 772.16 × 437.55
  4. Step 4: Simplify right side
    514.77x = 337,856.42
  5. Step 5: Solve for x
    x = 337,856.42/514.77
  6. Step 6: Final answer
    x = 656.33

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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.