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Finding the Fourth Proportional to 406.27, 560.70 and 229.26

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Solution

The fourth proportional to 406.27, 560.70 and 229.26 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.27 : 560.70 = 229.26 : x
  2. Step 2: Convert to fraction form
    406.27/560.70 = 229.26/x
  3. Step 3: Cross multiply
    406.27x = 560.70 × 229.26
  4. Step 4: Simplify right side
    406.27x = 128,546.08
  5. Step 5: Solve for x
    x = 128,546.08/406.27
  6. Step 6: Final answer
    x = 316.41

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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.