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Finding the Fourth Proportional to 326.47, 489.16 and 230.08

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Solution

The fourth proportional to 326.47, 489.16 and 230.08 is: 344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.47 : 489.16 = 230.08 : x
  2. Step 2: Convert to fraction form
    326.47/489.16 = 230.08/x
  3. Step 3: Cross multiply
    326.47x = 489.16 × 230.08
  4. Step 4: Simplify right side
    326.47x = 112,542.34
  5. Step 5: Solve for x
    x = 112,542.34/326.47
  6. Step 6: Final answer
    x = 344.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.