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Finding the Fourth Proportional to 414.92, 572.82 and 277

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Solution

The fourth proportional to 414.92, 572.82 and 277 is: 382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.92 : 572.82 = 277 : x
  2. Step 2: Convert to fraction form
    414.92/572.82 = 277/x
  3. Step 3: Cross multiply
    414.92x = 572.82 × 277
  4. Step 4: Simplify right side
    414.92x = 158,671.14
  5. Step 5: Solve for x
    x = 158,671.14/414.92
  6. Step 6: Final answer
    x = 382.41

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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.