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Finding the Fourth Proportional to 406.40, 560.85 and 229.43

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Solution

The fourth proportional to 406.40, 560.85 and 229.43 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.40 : 560.85 = 229.43 : x
  2. Step 2: Convert to fraction form
    406.40/560.85 = 229.43/x
  3. Step 3: Cross multiply
    406.40x = 560.85 × 229.43
  4. Step 4: Simplify right side
    406.40x = 128,677.65
  5. Step 5: Solve for x
    x = 128,677.65/406.40
  6. Step 6: Final answer
    x = 316.63

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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.