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Finding the Fourth Proportional to 326.70, 489.60 and 230.40

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Solution

The fourth proportional to 326.70, 489.60 and 230.40 is: 345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 489.60 = 230.40 : x
  2. Step 2: Convert to fraction form
    326.70/489.60 = 230.40/x
  3. Step 3: Cross multiply
    326.70x = 489.60 × 230.40
  4. Step 4: Simplify right side
    326.70x = 112,803.84
  5. Step 5: Solve for x
    x = 112,803.84/326.70
  6. Step 6: Final answer
    x = 345.28

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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.