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Finding the Fourth Proportional to 296.24, 408.84 and 243.92

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Solution

The fourth proportional to 296.24, 408.84 and 243.92 is: 336.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 408.84 = 243.92 : x
  2. Step 2: Convert to fraction form
    296.24/408.84 = 243.92/x
  3. Step 3: Cross multiply
    296.24x = 408.84 × 243.92
  4. Step 4: Simplify right side
    296.24x = 99,724.25
  5. Step 5: Solve for x
    x = 99,724.25/296.24
  6. Step 6: Final answer
    x = 336.63

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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.