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Finding the Fourth Proportional to 406.10, 560.49 and 229.14

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Solution

The fourth proportional to 406.10, 560.49 and 229.14 is: 316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.10 : 560.49 = 229.14 : x
  2. Step 2: Convert to fraction form
    406.10/560.49 = 229.14/x
  3. Step 3: Cross multiply
    406.10x = 560.49 × 229.14
  4. Step 4: Simplify right side
    406.10x = 128,429.53
  5. Step 5: Solve for x
    x = 128,429.53/406.10
  6. Step 6: Final answer
    x = 316.25

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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.