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Finding the Fourth Proportional to 352.53, 486.33 and 228.23

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Solution

The fourth proportional to 352.53, 486.33 and 228.23 is: 314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.53 : 486.33 = 228.23 : x
  2. Step 2: Convert to fraction form
    352.53/486.33 = 228.23/x
  3. Step 3: Cross multiply
    352.53x = 486.33 × 228.23
  4. Step 4: Simplify right side
    352.53x = 110,993.95
  5. Step 5: Solve for x
    x = 110,993.95/352.53
  6. Step 6: Final answer
    x = 314.85

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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.