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Finding the Fourth Proportional to 416.30, 574.52 and 229.78

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Solution

The fourth proportional to 416.30, 574.52 and 229.78 is: 317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.52 = 229.78 : x
  2. Step 2: Convert to fraction form
    416.30/574.52 = 229.78/x
  3. Step 3: Cross multiply
    416.30x = 574.52 × 229.78
  4. Step 4: Simplify right side
    416.30x = 132,013.21
  5. Step 5: Solve for x
    x = 132,013.21/416.30
  6. Step 6: Final answer
    x = 317.11

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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.