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Finding the Fourth Proportional to 414.75, 572.49 and 298.65

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Solution

The fourth proportional to 414.75, 572.49 and 298.65 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 572.49 = 298.65 : x
  2. Step 2: Convert to fraction form
    414.75/572.49 = 298.65/x
  3. Step 3: Cross multiply
    414.75x = 572.49 × 298.65
  4. Step 4: Simplify right side
    414.75x = 170,974.14
  5. Step 5: Solve for x
    x = 170,974.14/414.75
  6. Step 6: Final answer
    x = 412.23

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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.