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Finding the Fourth Proportional to 742.38, 1,112.59 and 279.62

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Solution

The fourth proportional to 742.38, 1,112.59 and 279.62 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.38 : 1,112.59 = 279.62 : x
  2. Step 2: Convert to fraction form
    742.38/1,112.59 = 279.62/x
  3. Step 3: Cross multiply
    742.38x = 1,112.59 × 279.62
  4. Step 4: Simplify right side
    742.38x = 311,099.80
  5. Step 5: Solve for x
    x = 311,099.80/742.38
  6. Step 6: Final answer
    x = 419.06

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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.