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Finding the Fourth Proportional to 623.97, 935.73 and 213.00

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Solution

The fourth proportional to 623.97, 935.73 and 213.00 is: 319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.97 : 935.73 = 213.00 : x
  2. Step 2: Convert to fraction form
    623.97/935.73 = 213.00/x
  3. Step 3: Cross multiply
    623.97x = 935.73 × 213.00
  4. Step 4: Simplify right side
    623.97x = 199,306.38
  5. Step 5: Solve for x
    x = 199,306.38/623.97
  6. Step 6: Final answer
    x = 319.42

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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.