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Finding the Fourth Proportional to 408.76, 609.96 and 360.76

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Solution

The fourth proportional to 408.76, 609.96 and 360.76 is: 538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.76 : 609.96 = 360.76 : x
  2. Step 2: Convert to fraction form
    408.76/609.96 = 360.76/x
  3. Step 3: Cross multiply
    408.76x = 609.96 × 360.76
  4. Step 4: Simplify right side
    408.76x = 220,049.17
  5. Step 5: Solve for x
    x = 220,049.17/408.76
  6. Step 6: Final answer
    x = 538.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.