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Finding the Fourth Proportional to 624.60, 936.26 and 213.40

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Solution

The fourth proportional to 624.60, 936.26 and 213.40 is: 319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 936.26 = 213.40 : x
  2. Step 2: Convert to fraction form
    624.60/936.26 = 213.40/x
  3. Step 3: Cross multiply
    624.60x = 936.26 × 213.40
  4. Step 4: Simplify right side
    624.60x = 199,797.88
  5. Step 5: Solve for x
    x = 199,797.88/624.60
  6. Step 6: Final answer
    x = 319.88

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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.