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Finding the Fourth Proportional to 360.28, 497.24 and 213

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Solution

The fourth proportional to 360.28, 497.24 and 213 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 497.24 = 213 : x
  2. Step 2: Convert to fraction form
    360.28/497.24 = 213/x
  3. Step 3: Cross multiply
    360.28x = 497.24 × 213
  4. Step 4: Simplify right side
    360.28x = 105,912.12
  5. Step 5: Solve for x
    x = 105,912.12/360.28
  6. Step 6: Final answer
    x = 293.97

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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.