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Finding the Fourth Proportional to 416.40, 574.62 and 229.86

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Solution

The fourth proportional to 416.40, 574.62 and 229.86 is: 317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.40 : 574.62 = 229.86 : x
  2. Step 2: Convert to fraction form
    416.40/574.62 = 229.86/x
  3. Step 3: Cross multiply
    416.40x = 574.62 × 229.86
  4. Step 4: Simplify right side
    416.40x = 132,083.55
  5. Step 5: Solve for x
    x = 132,083.55/416.40
  6. Step 6: Final answer
    x = 317.20

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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.