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Finding the Fourth Proportional to 360.57, 497.30 and 229.53

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Solution

The fourth proportional to 360.57, 497.30 and 229.53 is: 316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.57 : 497.30 = 229.53 : x
  2. Step 2: Convert to fraction form
    360.57/497.30 = 229.53/x
  3. Step 3: Cross multiply
    360.57x = 497.30 × 229.53
  4. Step 4: Simplify right side
    360.57x = 114,144.12
  5. Step 5: Solve for x
    x = 114,144.12/360.57
  6. Step 6: Final answer
    x = 316.57

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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.