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Finding the Fourth Proportional to 360.99, 540.41 and 238.95

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Solution

The fourth proportional to 360.99, 540.41 and 238.95 is: 357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 540.41 = 238.95 : x
  2. Step 2: Convert to fraction form
    360.99/540.41 = 238.95/x
  3. Step 3: Cross multiply
    360.99x = 540.41 × 238.95
  4. Step 4: Simplify right side
    360.99x = 129,129.77
  5. Step 5: Solve for x
    x = 129,129.77/360.99
  6. Step 6: Final answer
    x = 357.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.