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Finding the Fourth Proportional to 623.96, 935.86 and 213.14

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Solution

The fourth proportional to 623.96, 935.86 and 213.14 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.96 : 935.86 = 213.14 : x
  2. Step 2: Convert to fraction form
    623.96/935.86 = 213.14/x
  3. Step 3: Cross multiply
    623.96x = 935.86 × 213.14
  4. Step 4: Simplify right side
    623.96x = 199,463.99
  5. Step 5: Solve for x
    x = 199,463.99/623.96
  6. Step 6: Final answer
    x = 319.68

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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.