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Finding the Fourth Proportional to 414.96, 572.67 and 284.14

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Solution

The fourth proportional to 414.96, 572.67 and 284.14 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 572.67 = 284.14 : x
  2. Step 2: Convert to fraction form
    414.96/572.67 = 284.14/x
  3. Step 3: Cross multiply
    414.96x = 572.67 × 284.14
  4. Step 4: Simplify right side
    414.96x = 162,719.17
  5. Step 5: Solve for x
    x = 162,719.17/414.96
  6. Step 6: Final answer
    x = 392.14

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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.