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Finding the Fourth Proportional to 414.52, 572.16 and 283.84

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Solution

The fourth proportional to 414.52, 572.16 and 283.84 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 572.16 = 283.84 : x
  2. Step 2: Convert to fraction form
    414.52/572.16 = 283.84/x
  3. Step 3: Cross multiply
    414.52x = 572.16 × 283.84
  4. Step 4: Simplify right side
    414.52x = 162,401.89
  5. Step 5: Solve for x
    x = 162,401.89/414.52
  6. Step 6: Final answer
    x = 391.78

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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.