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Finding the Fourth Proportional to 406.12, 560.42 and 229.08

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Solution

The fourth proportional to 406.12, 560.42 and 229.08 is: 316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.12 : 560.42 = 229.08 : x
  2. Step 2: Convert to fraction form
    406.12/560.42 = 229.08/x
  3. Step 3: Cross multiply
    406.12x = 560.42 × 229.08
  4. Step 4: Simplify right side
    406.12x = 128,381.01
  5. Step 5: Solve for x
    x = 128,381.01/406.12
  6. Step 6: Final answer
    x = 316.12

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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.