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Finding the Fourth Proportional to 549.43, 758.13 and 362.99

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Solution

The fourth proportional to 549.43, 758.13 and 362.99 is: 500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.43 : 758.13 = 362.99 : x
  2. Step 2: Convert to fraction form
    549.43/758.13 = 362.99/x
  3. Step 3: Cross multiply
    549.43x = 758.13 × 362.99
  4. Step 4: Simplify right side
    549.43x = 275,194.14
  5. Step 5: Solve for x
    x = 275,194.14/549.43
  6. Step 6: Final answer
    x = 500.87

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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.