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Finding the Fourth Proportional to 411.68, 617.80 and 229.16

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Solution

The fourth proportional to 411.68, 617.80 and 229.16 is: 343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 617.80 = 229.16 : x
  2. Step 2: Convert to fraction form
    411.68/617.80 = 229.16/x
  3. Step 3: Cross multiply
    411.68x = 617.80 × 229.16
  4. Step 4: Simplify right side
    411.68x = 141,575.05
  5. Step 5: Solve for x
    x = 141,575.05/411.68
  6. Step 6: Final answer
    x = 343.90

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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.