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Finding the Fourth Proportional to 406.04, 560.19 and 231.29

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Solution

The fourth proportional to 406.04, 560.19 and 231.29 is: 319.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.04 : 560.19 = 231.29 : x
  2. Step 2: Convert to fraction form
    406.04/560.19 = 231.29/x
  3. Step 3: Cross multiply
    406.04x = 560.19 × 231.29
  4. Step 4: Simplify right side
    406.04x = 129,566.35
  5. Step 5: Solve for x
    x = 129,566.35/406.04
  6. Step 6: Final answer
    x = 319.10

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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.