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Finding the Fourth Proportional to 383.40, 574.97 and 200.78

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Solution

The fourth proportional to 383.40, 574.97 and 200.78 is: 301.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.40 : 574.97 = 200.78 : x
  2. Step 2: Convert to fraction form
    383.40/574.97 = 200.78/x
  3. Step 3: Cross multiply
    383.40x = 574.97 × 200.78
  4. Step 4: Simplify right side
    383.40x = 115,440.75
  5. Step 5: Solve for x
    x = 115,440.75/383.40
  6. Step 6: Final answer
    x = 301.10

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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.