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Finding the Fourth Proportional to 345.11, 517.01 and 229.20

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Solution

The fourth proportional to 345.11, 517.01 and 229.20 is: 343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.11 : 517.01 = 229.20 : x
  2. Step 2: Convert to fraction form
    345.11/517.01 = 229.20/x
  3. Step 3: Cross multiply
    345.11x = 517.01 × 229.20
  4. Step 4: Simplify right side
    345.11x = 118,500.61
  5. Step 5: Solve for x
    x = 118,500.61/345.11
  6. Step 6: Final answer
    x = 343.37

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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.