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Finding the Fourth Proportional to 326.92, 451.14 and 283.24

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Solution

The fourth proportional to 326.92, 451.14 and 283.24 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 451.14 = 283.24 : x
  2. Step 2: Convert to fraction form
    326.92/451.14 = 283.24/x
  3. Step 3: Cross multiply
    326.92x = 451.14 × 283.24
  4. Step 4: Simplify right side
    326.92x = 127,780.89
  5. Step 5: Solve for x
    x = 127,780.89/326.92
  6. Step 6: Final answer
    x = 390.86

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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.