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Finding the Fourth Proportional to 742.01, 1,113.14 and 309.20

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Solution

The fourth proportional to 742.01, 1,113.14 and 309.20 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.01 : 1,113.14 = 309.20 : x
  2. Step 2: Convert to fraction form
    742.01/1,113.14 = 309.20/x
  3. Step 3: Cross multiply
    742.01x = 1,113.14 × 309.20
  4. Step 4: Simplify right side
    742.01x = 344,182.89
  5. Step 5: Solve for x
    x = 344,182.89/742.01
  6. Step 6: Final answer
    x = 463.85

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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.