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Finding the Fourth Proportional to 384.06, 575.73 and 201.09

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Solution

The fourth proportional to 384.06, 575.73 and 201.09 is: 301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 575.73 = 201.09 : x
  2. Step 2: Convert to fraction form
    384.06/575.73 = 201.09/x
  3. Step 3: Cross multiply
    384.06x = 575.73 × 201.09
  4. Step 4: Simplify right side
    384.06x = 115,773.55
  5. Step 5: Solve for x
    x = 115,773.55/384.06
  6. Step 6: Final answer
    x = 301.45

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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.