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Finding the Fourth Proportional to 352.60, 486.24 and 252.84

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Solution

The fourth proportional to 352.60, 486.24 and 252.84 is: 348.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.60 : 486.24 = 252.84 : x
  2. Step 2: Convert to fraction form
    352.60/486.24 = 252.84/x
  3. Step 3: Cross multiply
    352.60x = 486.24 × 252.84
  4. Step 4: Simplify right side
    352.60x = 122,941.89
  5. Step 5: Solve for x
    x = 122,941.89/352.60
  6. Step 6: Final answer
    x = 348.68

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Why These Related Problems?

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