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Finding the Fourth Proportional to 352.48, 486.34 and 212.56

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Solution

The fourth proportional to 352.48, 486.34 and 212.56 is: 293.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.48 : 486.34 = 212.56 : x
  2. Step 2: Convert to fraction form
    352.48/486.34 = 212.56/x
  3. Step 3: Cross multiply
    352.48x = 486.34 × 212.56
  4. Step 4: Simplify right side
    352.48x = 103,376.43
  5. Step 5: Solve for x
    x = 103,376.43/352.48
  6. Step 6: Final answer
    x = 293.28

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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.