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Finding the Fourth Proportional to 360.70, 497.80 and 229.66

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Solution

The fourth proportional to 360.70, 497.80 and 229.66 is: 316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.70 : 497.80 = 229.66 : x
  2. Step 2: Convert to fraction form
    360.70/497.80 = 229.66/x
  3. Step 3: Cross multiply
    360.70x = 497.80 × 229.66
  4. Step 4: Simplify right side
    360.70x = 114,324.75
  5. Step 5: Solve for x
    x = 114,324.75/360.70
  6. Step 6: Final answer
    x = 316.95

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Why These Related Problems?

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