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Finding the Fourth Proportional to 406.29, 560.61 and 229.23

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Solution

The fourth proportional to 406.29, 560.61 and 229.23 is: 316.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 560.61 = 229.23 : x
  2. Step 2: Convert to fraction form
    406.29/560.61 = 229.23/x
  3. Step 3: Cross multiply
    406.29x = 560.61 × 229.23
  4. Step 4: Simplify right side
    406.29x = 128,508.63
  5. Step 5: Solve for x
    x = 128,508.63/406.29
  6. Step 6: Final answer
    x = 316.30

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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.