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Finding the Fourth Proportional to 549.86, 759.06 and 325.78

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Solution

The fourth proportional to 549.86, 759.06 and 325.78 is: 449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.86 : 759.06 = 325.78 : x
  2. Step 2: Convert to fraction form
    549.86/759.06 = 325.78/x
  3. Step 3: Cross multiply
    549.86x = 759.06 × 325.78
  4. Step 4: Simplify right side
    549.86x = 247,286.57
  5. Step 5: Solve for x
    x = 247,286.57/549.86
  6. Step 6: Final answer
    x = 449.73

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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.