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Finding the Fourth Proportional to 406.23, 560.61 and 231.63

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Solution

The fourth proportional to 406.23, 560.61 and 231.63 is: 319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 560.61 = 231.63 : x
  2. Step 2: Convert to fraction form
    406.23/560.61 = 231.63/x
  3. Step 3: Cross multiply
    406.23x = 560.61 × 231.63
  4. Step 4: Simplify right side
    406.23x = 129,854.09
  5. Step 5: Solve for x
    x = 129,854.09/406.23
  6. Step 6: Final answer
    x = 319.66

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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.