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Finding the Fourth Proportional to 298.76, 411.80 and 233.15

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Solution

The fourth proportional to 298.76, 411.80 and 233.15 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.76 : 411.80 = 233.15 : x
  2. Step 2: Convert to fraction form
    298.76/411.80 = 233.15/x
  3. Step 3: Cross multiply
    298.76x = 411.80 × 233.15
  4. Step 4: Simplify right side
    298.76x = 96,012.78
  5. Step 5: Solve for x
    x = 96,012.78/298.76
  6. Step 6: Final answer
    x = 321.37

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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.