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Finding the Fourth Proportional to 406.43, 560.91 and 229.39

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Solution

The fourth proportional to 406.43, 560.91 and 229.39 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.43 : 560.91 = 229.39 : x
  2. Step 2: Convert to fraction form
    406.43/560.91 = 229.39/x
  3. Step 3: Cross multiply
    406.43x = 560.91 × 229.39
  4. Step 4: Simplify right side
    406.43x = 128,667.14
  5. Step 5: Solve for x
    x = 128,667.14/406.43
  6. Step 6: Final answer
    x = 316.58

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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.