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Finding the Fourth Proportional to 406.13, 560.42 and 229.07

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Solution

The fourth proportional to 406.13, 560.42 and 229.07 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.13 : 560.42 = 229.07 : x
  2. Step 2: Convert to fraction form
    406.13/560.42 = 229.07/x
  3. Step 3: Cross multiply
    406.13x = 560.42 × 229.07
  4. Step 4: Simplify right side
    406.13x = 128,375.41
  5. Step 5: Solve for x
    x = 128,375.41/406.13
  6. Step 6: Final answer
    x = 316.09

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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.