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Finding the Fourth Proportional to 326.88, 489.72 and 245.76

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Solution

The fourth proportional to 326.88, 489.72 and 245.76 is: 368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 489.72 = 245.76 : x
  2. Step 2: Convert to fraction form
    326.88/489.72 = 245.76/x
  3. Step 3: Cross multiply
    326.88x = 489.72 × 245.76
  4. Step 4: Simplify right side
    326.88x = 120,353.59
  5. Step 5: Solve for x
    x = 120,353.59/326.88
  6. Step 6: Final answer
    x = 368.19

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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.