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Finding the Fourth Proportional to 298.24, 411.45 and 215.17

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Solution

The fourth proportional to 298.24, 411.45 and 215.17 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.24 : 411.45 = 215.17 : x
  2. Step 2: Convert to fraction form
    298.24/411.45 = 215.17/x
  3. Step 3: Cross multiply
    298.24x = 411.45 × 215.17
  4. Step 4: Simplify right side
    298.24x = 88,531.68
  5. Step 5: Solve for x
    x = 88,531.68/298.24
  6. Step 6: Final answer
    x = 296.84

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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.