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Finding the Fourth Proportional to 402.45, 603.14 and 229.16

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Solution

The fourth proportional to 402.45, 603.14 and 229.16 is: 343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.45 : 603.14 = 229.16 : x
  2. Step 2: Convert to fraction form
    402.45/603.14 = 229.16/x
  3. Step 3: Cross multiply
    402.45x = 603.14 × 229.16
  4. Step 4: Simplify right side
    402.45x = 138,211.40
  5. Step 5: Solve for x
    x = 138,211.40/402.45
  6. Step 6: Final answer
    x = 343.43

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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.