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Finding the Fourth Proportional to 742.62, 1,114.02 and 309.78

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Solution

The fourth proportional to 742.62, 1,114.02 and 309.78 is: 464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.62 : 1,114.02 = 309.78 : x
  2. Step 2: Convert to fraction form
    742.62/1,114.02 = 309.78/x
  3. Step 3: Cross multiply
    742.62x = 1,114.02 × 309.78
  4. Step 4: Simplify right side
    742.62x = 345,101.12
  5. Step 5: Solve for x
    x = 345,101.12/742.62
  6. Step 6: Final answer
    x = 464.71

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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.