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Finding the Fourth Proportional to 406.09, 560.42 and 231.46

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Solution

The fourth proportional to 406.09, 560.42 and 231.46 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.09 : 560.42 = 231.46 : x
  2. Step 2: Convert to fraction form
    406.09/560.42 = 231.46/x
  3. Step 3: Cross multiply
    406.09x = 560.42 × 231.46
  4. Step 4: Simplify right side
    406.09x = 129,714.81
  5. Step 5: Solve for x
    x = 129,714.81/406.09
  6. Step 6: Final answer
    x = 319.42

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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.