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Finding the Fourth Proportional to 549.19, 757.38 and 362.49

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Solution

The fourth proportional to 549.19, 757.38 and 362.49 is: 499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.19 : 757.38 = 362.49 : x
  2. Step 2: Convert to fraction form
    549.19/757.38 = 362.49/x
  3. Step 3: Cross multiply
    549.19x = 757.38 × 362.49
  4. Step 4: Simplify right side
    549.19x = 274,542.68
  5. Step 5: Solve for x
    x = 274,542.68/549.19
  6. Step 6: Final answer
    x = 499.90

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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.