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Finding the Fourth Proportional to 624.35, 936.72 and 213.53

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Solution

The fourth proportional to 624.35, 936.72 and 213.53 is: 320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.35 : 936.72 = 213.53 : x
  2. Step 2: Convert to fraction form
    624.35/936.72 = 213.53/x
  3. Step 3: Cross multiply
    624.35x = 936.72 × 213.53
  4. Step 4: Simplify right side
    624.35x = 200,013.14
  5. Step 5: Solve for x
    x = 200,013.14/624.35
  6. Step 6: Final answer
    x = 320.36

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