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Finding the Fourth Proportional to 406.06, 560.38 and 231.42

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Solution

The fourth proportional to 406.06, 560.38 and 231.42 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.06 : 560.38 = 231.42 : x
  2. Step 2: Convert to fraction form
    406.06/560.38 = 231.42/x
  3. Step 3: Cross multiply
    406.06x = 560.38 × 231.42
  4. Step 4: Simplify right side
    406.06x = 129,683.14
  5. Step 5: Solve for x
    x = 129,683.14/406.06
  6. Step 6: Final answer
    x = 319.37

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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.