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Finding the Fourth Proportional to 406.29, 560.66 and 231.63

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Solution

The fourth proportional to 406.29, 560.66 and 231.63 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.29 : 560.66 = 231.63 : x
  2. Step 2: Convert to fraction form
    406.29/560.66 = 231.63/x
  3. Step 3: Cross multiply
    406.29x = 560.66 × 231.63
  4. Step 4: Simplify right side
    406.29x = 129,865.68
  5. Step 5: Solve for x
    x = 129,865.68/406.29
  6. Step 6: Final answer
    x = 319.64

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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.