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Finding the Fourth Proportional to 360.21, 497.09 and 212.85

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Solution

The fourth proportional to 360.21, 497.09 and 212.85 is: 293.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.21 : 497.09 = 212.85 : x
  2. Step 2: Convert to fraction form
    360.21/497.09 = 212.85/x
  3. Step 3: Cross multiply
    360.21x = 497.09 × 212.85
  4. Step 4: Simplify right side
    360.21x = 105,806.14
  5. Step 5: Solve for x
    x = 105,806.14/360.21
  6. Step 6: Final answer
    x = 293.73

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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.