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Finding the Fourth Proportional to 360.96, 498.14 and 213.68

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Solution

The fourth proportional to 360.96, 498.14 and 213.68 is: 294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.96 : 498.14 = 213.68 : x
  2. Step 2: Convert to fraction form
    360.96/498.14 = 213.68/x
  3. Step 3: Cross multiply
    360.96x = 498.14 × 213.68
  4. Step 4: Simplify right side
    360.96x = 106,442.56
  5. Step 5: Solve for x
    x = 106,442.56/360.96
  6. Step 6: Final answer
    x = 294.89

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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.