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Finding the Fourth Proportional to 406.29, 560.68 and 229.27

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Solution

The fourth proportional to 406.29, 560.68 and 229.27 is: 316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 560.68 = 229.27 : x
  2. Step 2: Convert to fraction form
    406.29/560.68 = 229.27/x
  3. Step 3: Cross multiply
    406.29x = 560.68 × 229.27
  4. Step 4: Simplify right side
    406.29x = 128,545.13
  5. Step 5: Solve for x
    x = 128,545.13/406.29
  6. Step 6: Final answer
    x = 316.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.