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Finding the Fourth Proportional to 541.75, 812.99 and 199.75

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Solution

The fourth proportional to 541.75, 812.99 and 199.75 is: 299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.75 : 812.99 = 199.75 : x
  2. Step 2: Convert to fraction form
    541.75/812.99 = 199.75/x
  3. Step 3: Cross multiply
    541.75x = 812.99 × 199.75
  4. Step 4: Simplify right side
    541.75x = 162,394.75
  5. Step 5: Solve for x
    x = 162,394.75/541.75
  6. Step 6: Final answer
    x = 299.76

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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.