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Finding the Fourth Proportional to 993.60, 1,491.12 and 344.88

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Solution

The fourth proportional to 993.60, 1,491.12 and 344.88 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.60 : 1,491.12 = 344.88 : x
  2. Step 2: Convert to fraction form
    993.60/1,491.12 = 344.88/x
  3. Step 3: Cross multiply
    993.60x = 1,491.12 × 344.88
  4. Step 4: Simplify right side
    993.60x = 514,257.47
  5. Step 5: Solve for x
    x = 514,257.47/993.60
  6. Step 6: Final answer
    x = 517.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.