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Finding the Fourth Proportional to 406.10, 560.34 and 231.42

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Solution

The fourth proportional to 406.10, 560.34 and 231.42 is: 319.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 560.34 = 231.42 : x
  2. Step 2: Convert to fraction form
    406.10/560.34 = 231.42/x
  3. Step 3: Cross multiply
    406.10x = 560.34 × 231.42
  4. Step 4: Simplify right side
    406.10x = 129,673.88
  5. Step 5: Solve for x
    x = 129,673.88/406.10
  6. Step 6: Final answer
    x = 319.32

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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.