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Finding the Fourth Proportional to 297.53, 410.69 and 204.24

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Solution

The fourth proportional to 297.53, 410.69 and 204.24 is: 281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.53 : 410.69 = 204.24 : x
  2. Step 2: Convert to fraction form
    297.53/410.69 = 204.24/x
  3. Step 3: Cross multiply
    297.53x = 410.69 × 204.24
  4. Step 4: Simplify right side
    297.53x = 83,879.33
  5. Step 5: Solve for x
    x = 83,879.33/297.53
  6. Step 6: Final answer
    x = 281.92

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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.