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Finding the Fourth Proportional to 623.70, 935.69 and 212.83

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Solution

The fourth proportional to 623.70, 935.69 and 212.83 is: 319.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.70 : 935.69 = 212.83 : x
  2. Step 2: Convert to fraction form
    623.70/935.69 = 212.83/x
  3. Step 3: Cross multiply
    623.70x = 935.69 × 212.83
  4. Step 4: Simplify right side
    623.70x = 199,142.90
  5. Step 5: Solve for x
    x = 199,142.90/623.70
  6. Step 6: Final answer
    x = 319.29

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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.