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Finding the Fourth Proportional to 360.20, 497.10 and 229.52

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Solution

The fourth proportional to 360.20, 497.10 and 229.52 is: 316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.20 : 497.10 = 229.52 : x
  2. Step 2: Convert to fraction form
    360.20/497.10 = 229.52/x
  3. Step 3: Cross multiply
    360.20x = 497.10 × 229.52
  4. Step 4: Simplify right side
    360.20x = 114,094.39
  5. Step 5: Solve for x
    x = 114,094.39/360.20
  6. Step 6: Final answer
    x = 316.75

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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.