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Finding the Fourth Proportional to 360.60, 497.66 and 203.23

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Solution

The fourth proportional to 360.60, 497.66 and 203.23 is: 280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.60 : 497.66 = 203.23 : x
  2. Step 2: Convert to fraction form
    360.60/497.66 = 203.23/x
  3. Step 3: Cross multiply
    360.60x = 497.66 × 203.23
  4. Step 4: Simplify right side
    360.60x = 101,139.44
  5. Step 5: Solve for x
    x = 101,139.44/360.60
  6. Step 6: Final answer
    x = 280.48

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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.