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Finding the Fourth Proportional to 360.83, 497.86 and 213.38

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Solution

The fourth proportional to 360.83, 497.86 and 213.38 is: 294.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.83 : 497.86 = 213.38 : x
  2. Step 2: Convert to fraction form
    360.83/497.86 = 213.38/x
  3. Step 3: Cross multiply
    360.83x = 497.86 × 213.38
  4. Step 4: Simplify right side
    360.83x = 106,232.30
  5. Step 5: Solve for x
    x = 106,232.30/360.83
  6. Step 6: Final answer
    x = 294.42

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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.