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Finding the Fourth Proportional to 406.14, 560.46 and 231.51

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Solution

The fourth proportional to 406.14, 560.46 and 231.51 is: 319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 560.46 = 231.51 : x
  2. Step 2: Convert to fraction form
    406.14/560.46 = 231.51/x
  3. Step 3: Cross multiply
    406.14x = 560.46 × 231.51
  4. Step 4: Simplify right side
    406.14x = 129,752.09
  5. Step 5: Solve for x
    x = 129,752.09/406.14
  6. Step 6: Final answer
    x = 319.48

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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.