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Finding the Fourth Proportional to 367.38, 506.52 and 288.54

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Solution

The fourth proportional to 367.38, 506.52 and 288.54 is: 397.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.38 : 506.52 = 288.54 : x
  2. Step 2: Convert to fraction form
    367.38/506.52 = 288.54/x
  3. Step 3: Cross multiply
    367.38x = 506.52 × 288.54
  4. Step 4: Simplify right side
    367.38x = 146,151.28
  5. Step 5: Solve for x
    x = 146,151.28/367.38
  6. Step 6: Final answer
    x = 397.82

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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.