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Finding the Fourth Proportional to 365.31, 547.94 and 202.89

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Solution

The fourth proportional to 365.31, 547.94 and 202.89 is: 304.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.31 : 547.94 = 202.89 : x
  2. Step 2: Convert to fraction form
    365.31/547.94 = 202.89/x
  3. Step 3: Cross multiply
    365.31x = 547.94 × 202.89
  4. Step 4: Simplify right side
    365.31x = 111,169.31
  5. Step 5: Solve for x
    x = 111,169.31/365.31
  6. Step 6: Final answer
    x = 304.32

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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.