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Finding the Fourth Proportional to 514.64, 771.24 and 438.32

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Solution

The fourth proportional to 514.64, 771.24 and 438.32 is: 656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.64 : 771.24 = 438.32 : x
  2. Step 2: Convert to fraction form
    514.64/771.24 = 438.32/x
  3. Step 3: Cross multiply
    514.64x = 771.24 × 438.32
  4. Step 4: Simplify right side
    514.64x = 338,049.92
  5. Step 5: Solve for x
    x = 338,049.92/514.64
  6. Step 6: Final answer
    x = 656.87

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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.