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Finding the Fourth Proportional to 360.85, 497.96 and 213.47

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Solution

The fourth proportional to 360.85, 497.96 and 213.47 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.85 : 497.96 = 213.47 : x
  2. Step 2: Convert to fraction form
    360.85/497.96 = 213.47/x
  3. Step 3: Cross multiply
    360.85x = 497.96 × 213.47
  4. Step 4: Simplify right side
    360.85x = 106,299.52
  5. Step 5: Solve for x
    x = 106,299.52/360.85
  6. Step 6: Final answer
    x = 294.58

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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.