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Finding the Fourth Proportional to 742.28, 1,112.76 and 309.74

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Solution

The fourth proportional to 742.28, 1,112.76 and 309.74 is: 464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.28 : 1,112.76 = 309.74 : x
  2. Step 2: Convert to fraction form
    742.28/1,112.76 = 309.74/x
  3. Step 3: Cross multiply
    742.28x = 1,112.76 × 309.74
  4. Step 4: Simplify right side
    742.28x = 344,666.28
  5. Step 5: Solve for x
    x = 344,666.28/742.28
  6. Step 6: Final answer
    x = 464.33

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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.