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Finding the Fourth Proportional to 742.14, 1,113.24 and 309.30

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Solution

The fourth proportional to 742.14, 1,113.24 and 309.30 is: 463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.14 : 1,113.24 = 309.30 : x
  2. Step 2: Convert to fraction form
    742.14/1,113.24 = 309.30/x
  3. Step 3: Cross multiply
    742.14x = 1,113.24 × 309.30
  4. Step 4: Simplify right side
    742.14x = 344,325.13
  5. Step 5: Solve for x
    x = 344,325.13/742.14
  6. Step 6: Final answer
    x = 463.96

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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.