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Finding the Fourth Proportional to 406.31, 560.71 and 231.66

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Solution

The fourth proportional to 406.31, 560.71 and 231.66 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.31 : 560.71 = 231.66 : x
  2. Step 2: Convert to fraction form
    406.31/560.71 = 231.66/x
  3. Step 3: Cross multiply
    406.31x = 560.71 × 231.66
  4. Step 4: Simplify right side
    406.31x = 129,894.08
  5. Step 5: Solve for x
    x = 129,894.08/406.31
  6. Step 6: Final answer
    x = 319.69

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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.