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Finding the Fourth Proportional to 892.88, 1,339.32 and 344.96

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Solution

The fourth proportional to 892.88, 1,339.32 and 344.96 is: 517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.88 : 1,339.32 = 344.96 : x
  2. Step 2: Convert to fraction form
    892.88/1,339.32 = 344.96/x
  3. Step 3: Cross multiply
    892.88x = 1,339.32 × 344.96
  4. Step 4: Simplify right side
    892.88x = 462,011.83
  5. Step 5: Solve for x
    x = 462,011.83/892.88
  6. Step 6: Final answer
    x = 517.44

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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.