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Finding the Fourth Proportional to 383.86, 575.56 and 201.43

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Solution

The fourth proportional to 383.86, 575.56 and 201.43 is: 302.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.86 : 575.56 = 201.43 : x
  2. Step 2: Convert to fraction form
    383.86/575.56 = 201.43/x
  3. Step 3: Cross multiply
    383.86x = 575.56 × 201.43
  4. Step 4: Simplify right side
    383.86x = 115,935.05
  5. Step 5: Solve for x
    x = 115,935.05/383.86
  6. Step 6: Final answer
    x = 302.02

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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.