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Finding the Fourth Proportional to 384.20, 575.90 and 201.24

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Solution

The fourth proportional to 384.20, 575.90 and 201.24 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.20 : 575.90 = 201.24 : x
  2. Step 2: Convert to fraction form
    384.20/575.90 = 201.24/x
  3. Step 3: Cross multiply
    384.20x = 575.90 × 201.24
  4. Step 4: Simplify right side
    384.20x = 115,894.12
  5. Step 5: Solve for x
    x = 115,894.12/384.20
  6. Step 6: Final answer
    x = 301.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.