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Finding the Fourth Proportional to 406.31, 560.65 and 229.24

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Solution

The fourth proportional to 406.31, 560.65 and 229.24 is: 316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.31 : 560.65 = 229.24 : x
  2. Step 2: Convert to fraction form
    406.31/560.65 = 229.24/x
  3. Step 3: Cross multiply
    406.31x = 560.65 × 229.24
  4. Step 4: Simplify right side
    406.31x = 128,523.96
  5. Step 5: Solve for x
    x = 128,523.96/406.31
  6. Step 6: Final answer
    x = 316.32

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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.