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Finding the Fourth Proportional to 360.82, 497.71 and 213.42

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Solution

The fourth proportional to 360.82, 497.71 and 213.42 is: 294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.82 : 497.71 = 213.42 : x
  2. Step 2: Convert to fraction form
    360.82/497.71 = 213.42/x
  3. Step 3: Cross multiply
    360.82x = 497.71 × 213.42
  4. Step 4: Simplify right side
    360.82x = 106,220.60
  5. Step 5: Solve for x
    x = 106,220.60/360.82
  6. Step 6: Final answer
    x = 294.39

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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.