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Finding the Fourth Proportional to 408.96, 610.48 and 360.36

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Solution

The fourth proportional to 408.96, 610.48 and 360.36 is: 537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.96 : 610.48 = 360.36 : x
  2. Step 2: Convert to fraction form
    408.96/610.48 = 360.36/x
  3. Step 3: Cross multiply
    408.96x = 610.48 × 360.36
  4. Step 4: Simplify right side
    408.96x = 219,992.57
  5. Step 5: Solve for x
    x = 219,992.57/408.96
  6. Step 6: Final answer
    x = 537.93

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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.