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Finding the Fourth Proportional to 595.52, 892.44 and 440.22

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Solution

The fourth proportional to 595.52, 892.44 and 440.22 is: 659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.52 : 892.44 = 440.22 : x
  2. Step 2: Convert to fraction form
    595.52/892.44 = 440.22/x
  3. Step 3: Cross multiply
    595.52x = 892.44 × 440.22
  4. Step 4: Simplify right side
    595.52x = 392,869.94
  5. Step 5: Solve for x
    x = 392,869.94/595.52
  6. Step 6: Final answer
    x = 659.71

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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.