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Finding the Fourth Proportional to 576.40, 862.72 and 438.70

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Solution

The fourth proportional to 576.40, 862.72 and 438.70 is: 656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 862.72 = 438.70 : x
  2. Step 2: Convert to fraction form
    576.40/862.72 = 438.70/x
  3. Step 3: Cross multiply
    576.40x = 862.72 × 438.70
  4. Step 4: Simplify right side
    576.40x = 378,475.26
  5. Step 5: Solve for x
    x = 378,475.26/576.40
  6. Step 6: Final answer
    x = 656.62

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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.