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Finding the Fourth Proportional to 416.30, 574.53 and 229.83

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Solution

The fourth proportional to 416.30, 574.53 and 229.83 is: 317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 574.53 = 229.83 : x
  2. Step 2: Convert to fraction form
    416.30/574.53 = 229.83/x
  3. Step 3: Cross multiply
    416.30x = 574.53 × 229.83
  4. Step 4: Simplify right side
    416.30x = 132,044.66
  5. Step 5: Solve for x
    x = 132,044.66/416.30
  6. Step 6: Final answer
    x = 317.18

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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.