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Finding the Fourth Proportional to 367.87, 508.17 and 286.02

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Solution

The fourth proportional to 367.87, 508.17 and 286.02 is: 395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.87 : 508.17 = 286.02 : x
  2. Step 2: Convert to fraction form
    367.87/508.17 = 286.02/x
  3. Step 3: Cross multiply
    367.87x = 508.17 × 286.02
  4. Step 4: Simplify right side
    367.87x = 145,346.78
  5. Step 5: Solve for x
    x = 145,346.78/367.87
  6. Step 6: Final answer
    x = 395.10

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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.