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Finding the Fourth Proportional to 298.59, 411.38 and 215.56

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Solution

The fourth proportional to 298.59, 411.38 and 215.56 is: 296.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 411.38 = 215.56 : x
  2. Step 2: Convert to fraction form
    298.59/411.38 = 215.56/x
  3. Step 3: Cross multiply
    298.59x = 411.38 × 215.56
  4. Step 4: Simplify right side
    298.59x = 88,677.32
  5. Step 5: Solve for x
    x = 88,677.32/298.59
  6. Step 6: Final answer
    x = 296.99

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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.