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Finding the Fourth Proportional to 360.09, 496.85 and 235.92

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Solution

The fourth proportional to 360.09, 496.85 and 235.92 is: 325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.09 : 496.85 = 235.92 : x
  2. Step 2: Convert to fraction form
    360.09/496.85 = 235.92/x
  3. Step 3: Cross multiply
    360.09x = 496.85 × 235.92
  4. Step 4: Simplify right side
    360.09x = 117,215.67
  5. Step 5: Solve for x
    x = 117,215.67/360.09
  6. Step 6: Final answer
    x = 325.52

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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.