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Finding the Fourth Proportional to 416.04, 574.13 and 229.55

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Solution

The fourth proportional to 416.04, 574.13 and 229.55 is: 316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.04 : 574.13 = 229.55 : x
  2. Step 2: Convert to fraction form
    416.04/574.13 = 229.55/x
  3. Step 3: Cross multiply
    416.04x = 574.13 × 229.55
  4. Step 4: Simplify right side
    416.04x = 131,787.52
  5. Step 5: Solve for x
    x = 131,787.52/416.04
  6. Step 6: Final answer
    x = 316.77

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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.