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Finding the Fourth Proportional to 575.92, 862.26 and 438.56

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Solution

The fourth proportional to 575.92, 862.26 and 438.56 is: 656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.92 : 862.26 = 438.56 : x
  2. Step 2: Convert to fraction form
    575.92/862.26 = 438.56/x
  3. Step 3: Cross multiply
    575.92x = 862.26 × 438.56
  4. Step 4: Simplify right side
    575.92x = 378,152.75
  5. Step 5: Solve for x
    x = 378,152.75/575.92
  6. Step 6: Final answer
    x = 656.61

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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.