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Finding the Fourth Proportional to 298.47, 410.20 and 232.86

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Solution

The fourth proportional to 298.47, 410.20 and 232.86 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.47 : 410.20 = 232.86 : x
  2. Step 2: Convert to fraction form
    298.47/410.20 = 232.86/x
  3. Step 3: Cross multiply
    298.47x = 410.20 × 232.86
  4. Step 4: Simplify right side
    298.47x = 95,519.17
  5. Step 5: Solve for x
    x = 95,519.17/298.47
  6. Step 6: Final answer
    x = 320.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.