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Finding the Fourth Proportional to 360.20, 497.04 and 204.95

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Solution

The fourth proportional to 360.20, 497.04 and 204.95 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 497.04 = 204.95 : x
  2. Step 2: Convert to fraction form
    360.20/497.04 = 204.95/x
  3. Step 3: Cross multiply
    360.20x = 497.04 × 204.95
  4. Step 4: Simplify right side
    360.20x = 101,865.86
  5. Step 5: Solve for x
    x = 101,865.86/360.20
  6. Step 6: Final answer
    x = 282.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.