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Finding the Fourth Proportional to 416.39, 574.64 and 229.88

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Solution

The fourth proportional to 416.39, 574.64 and 229.88 is: 317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.39 : 574.64 = 229.88 : x
  2. Step 2: Convert to fraction form
    416.39/574.64 = 229.88/x
  3. Step 3: Cross multiply
    416.39x = 574.64 × 229.88
  4. Step 4: Simplify right side
    416.39x = 132,098.24
  5. Step 5: Solve for x
    x = 132,098.24/416.39
  6. Step 6: Final answer
    x = 317.25

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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.