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Finding the Fourth Proportional to 326.92, 451.08 and 210.46

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Solution

The fourth proportional to 326.92, 451.08 and 210.46 is: 290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.92 : 451.08 = 210.46 : x
  2. Step 2: Convert to fraction form
    326.92/451.08 = 210.46/x
  3. Step 3: Cross multiply
    326.92x = 451.08 × 210.46
  4. Step 4: Simplify right side
    326.92x = 94,934.30
  5. Step 5: Solve for x
    x = 94,934.30/326.92
  6. Step 6: Final answer
    x = 290.39

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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.