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Finding the Fourth Proportional to 414.52, 572 and 230.52

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Solution

The fourth proportional to 414.52, 572 and 230.52 is: 318.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 572 = 230.52 : x
  2. Step 2: Convert to fraction form
    414.52/572 = 230.52/x
  3. Step 3: Cross multiply
    414.52x = 572 × 230.52
  4. Step 4: Simplify right side
    414.52x = 131,857.44
  5. Step 5: Solve for x
    x = 131,857.44/414.52
  6. Step 6: Final answer
    x = 318.10

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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.