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Finding the Fourth Proportional to 410.92, 567.20 and 286.54

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Solution

The fourth proportional to 410.92, 567.20 and 286.54 is: 395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.92 : 567.20 = 286.54 : x
  2. Step 2: Convert to fraction form
    410.92/567.20 = 286.54/x
  3. Step 3: Cross multiply
    410.92x = 567.20 × 286.54
  4. Step 4: Simplify right side
    410.92x = 162,524.79
  5. Step 5: Solve for x
    x = 162,524.79/410.92
  6. Step 6: Final answer
    x = 395.51

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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.