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Finding the Fourth Proportional to 411.68, 617.06 and 229.02

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Solution

The fourth proportional to 411.68, 617.06 and 229.02 is: 343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 617.06 = 229.02 : x
  2. Step 2: Convert to fraction form
    411.68/617.06 = 229.02/x
  3. Step 3: Cross multiply
    411.68x = 617.06 × 229.02
  4. Step 4: Simplify right side
    411.68x = 141,319.08
  5. Step 5: Solve for x
    x = 141,319.08/411.68
  6. Step 6: Final answer
    x = 343.27

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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.