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Finding the Fourth Proportional to 360.25, 496.97 and 235.85

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Solution

The fourth proportional to 360.25, 496.97 and 235.85 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 496.97 = 235.85 : x
  2. Step 2: Convert to fraction form
    360.25/496.97 = 235.85/x
  3. Step 3: Cross multiply
    360.25x = 496.97 × 235.85
  4. Step 4: Simplify right side
    360.25x = 117,211.32
  5. Step 5: Solve for x
    x = 117,211.32/360.25
  6. Step 6: Final answer
    x = 325.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.