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Finding the Fourth Proportional to 624.52, 936.98 and 213.66

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Solution

The fourth proportional to 624.52, 936.98 and 213.66 is: 320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.52 : 936.98 = 213.66 : x
  2. Step 2: Convert to fraction form
    624.52/936.98 = 213.66/x
  3. Step 3: Cross multiply
    624.52x = 936.98 × 213.66
  4. Step 4: Simplify right side
    624.52x = 200,194.28
  5. Step 5: Solve for x
    x = 200,194.28/624.52
  6. Step 6: Final answer
    x = 320.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.