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Finding the Fourth Proportional to 406.47, 560.89 and 229.42

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Solution

The fourth proportional to 406.47, 560.89 and 229.42 is: 316.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.47 : 560.89 = 229.42 : x
  2. Step 2: Convert to fraction form
    406.47/560.89 = 229.42/x
  3. Step 3: Cross multiply
    406.47x = 560.89 × 229.42
  4. Step 4: Simplify right side
    406.47x = 128,680.37
  5. Step 5: Solve for x
    x = 128,680.37/406.47
  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.