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Finding the Fourth Proportional to 416.33, 574.52 and 229.83

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Solution

The fourth proportional to 416.33, 574.52 and 229.83 is: 317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.33 : 574.52 = 229.83 : x
  2. Step 2: Convert to fraction form
    416.33/574.52 = 229.83/x
  3. Step 3: Cross multiply
    416.33x = 574.52 × 229.83
  4. Step 4: Simplify right side
    416.33x = 132,041.93
  5. Step 5: Solve for x
    x = 132,041.93/416.33
  6. Step 6: Final answer
    x = 317.16

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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.