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Finding the Fourth Proportional to 414.68, 572.55 and 275.09

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Solution

The fourth proportional to 414.68, 572.55 and 275.09 is: 379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 572.55 = 275.09 : x
  2. Step 2: Convert to fraction form
    414.68/572.55 = 275.09/x
  3. Step 3: Cross multiply
    414.68x = 572.55 × 275.09
  4. Step 4: Simplify right side
    414.68x = 157,500.86
  5. Step 5: Solve for x
    x = 157,500.86/414.68
  6. Step 6: Final answer
    x = 379.81

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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.