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Finding the Fourth Proportional to 383.01, 574.74 and 200.46

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Solution

The fourth proportional to 383.01, 574.74 and 200.46 is: 300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.01 : 574.74 = 200.46 : x
  2. Step 2: Convert to fraction form
    383.01/574.74 = 200.46/x
  3. Step 3: Cross multiply
    383.01x = 574.74 × 200.46
  4. Step 4: Simplify right side
    383.01x = 115,212.38
  5. Step 5: Solve for x
    x = 115,212.38/383.01
  6. Step 6: Final answer
    x = 300.81

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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.