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Finding the Fourth Proportional to 742.38, 1,113.56 and 309.53

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Solution

The fourth proportional to 742.38, 1,113.56 and 309.53 is: 464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.38 : 1,113.56 = 309.53 : x
  2. Step 2: Convert to fraction form
    742.38/1,113.56 = 309.53/x
  3. Step 3: Cross multiply
    742.38x = 1,113.56 × 309.53
  4. Step 4: Simplify right side
    742.38x = 344,678.68
  5. Step 5: Solve for x
    x = 344,678.68/742.38
  6. Step 6: Final answer
    x = 464.29

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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.