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Finding the Fourth Proportional to 298.59, 411.80 and 215.57

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Solution

The fourth proportional to 298.59, 411.80 and 215.57 is: 297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 411.80 = 215.57 : x
  2. Step 2: Convert to fraction form
    298.59/411.80 = 215.57/x
  3. Step 3: Cross multiply
    298.59x = 411.80 × 215.57
  4. Step 4: Simplify right side
    298.59x = 88,768.59
  5. Step 5: Solve for x
    x = 88,768.59/298.59
  6. Step 6: Final answer
    x = 297.29

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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.