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Finding the Fourth Proportional to 416.52, 574.81 and 230.02

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Solution

The fourth proportional to 416.52, 574.81 and 230.02 is: 317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.52 : 574.81 = 230.02 : x
  2. Step 2: Convert to fraction form
    416.52/574.81 = 230.02/x
  3. Step 3: Cross multiply
    416.52x = 574.81 × 230.02
  4. Step 4: Simplify right side
    416.52x = 132,215.78
  5. Step 5: Solve for x
    x = 132,215.78/416.52
  6. Step 6: Final answer
    x = 317.43

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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.