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Finding the Fourth Proportional to 675.32, 1,013.16 and 236.48

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Solution

The fourth proportional to 675.32, 1,013.16 and 236.48 is: 354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.32 : 1,013.16 = 236.48 : x
  2. Step 2: Convert to fraction form
    675.32/1,013.16 = 236.48/x
  3. Step 3: Cross multiply
    675.32x = 1,013.16 × 236.48
  4. Step 4: Simplify right side
    675.32x = 239,592.08
  5. Step 5: Solve for x
    x = 239,592.08/675.32
  6. Step 6: Final answer
    x = 354.78

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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.