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Finding the Fourth Proportional to 360.22, 497.17 and 229.40

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Solution

The fourth proportional to 360.22, 497.17 and 229.40 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.22 : 497.17 = 229.40 : x
  2. Step 2: Convert to fraction form
    360.22/497.17 = 229.40/x
  3. Step 3: Cross multiply
    360.22x = 497.17 × 229.40
  4. Step 4: Simplify right side
    360.22x = 114,050.80
  5. Step 5: Solve for x
    x = 114,050.80/360.22
  6. Step 6: Final answer
    x = 316.61

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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.