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Finding the Fourth Proportional to 549.75, 758.66 and 375.09

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Solution

The fourth proportional to 549.75, 758.66 and 375.09 is: 517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.75 : 758.66 = 375.09 : x
  2. Step 2: Convert to fraction form
    549.75/758.66 = 375.09/x
  3. Step 3: Cross multiply
    549.75x = 758.66 × 375.09
  4. Step 4: Simplify right side
    549.75x = 284,565.78
  5. Step 5: Solve for x
    x = 284,565.78/549.75
  6. Step 6: Final answer
    x = 517.63

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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.