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Finding the Fourth Proportional to 298.09, 411.10 and 215.07

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Solution

The fourth proportional to 298.09, 411.10 and 215.07 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.09 : 411.10 = 215.07 : x
  2. Step 2: Convert to fraction form
    298.09/411.10 = 215.07/x
  3. Step 3: Cross multiply
    298.09x = 411.10 × 215.07
  4. Step 4: Simplify right side
    298.09x = 88,415.28
  5. Step 5: Solve for x
    x = 88,415.28/298.09
  6. Step 6: Final answer
    x = 296.61

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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.