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Finding the Fourth Proportional to 416.48, 574.72 and 229.96

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Solution

The fourth proportional to 416.48, 574.72 and 229.96 is: 317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 574.72 = 229.96 : x
  2. Step 2: Convert to fraction form
    416.48/574.72 = 229.96/x
  3. Step 3: Cross multiply
    416.48x = 574.72 × 229.96
  4. Step 4: Simplify right side
    416.48x = 132,162.61
  5. Step 5: Solve for x
    x = 132,162.61/416.48
  6. Step 6: Final answer
    x = 317.33

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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.