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Finding the Fourth Proportional to 414.54, 572.22 and 283.62

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Solution

The fourth proportional to 414.54, 572.22 and 283.62 is: 391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 572.22 = 283.62 : x
  2. Step 2: Convert to fraction form
    414.54/572.22 = 283.62/x
  3. Step 3: Cross multiply
    414.54x = 572.22 × 283.62
  4. Step 4: Simplify right side
    414.54x = 162,293.04
  5. Step 5: Solve for x
    x = 162,293.04/414.54
  6. Step 6: Final answer
    x = 391.50

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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.