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Finding the Fourth Proportional to 624.30, 935.88 and 213.36

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Solution

The fourth proportional to 624.30, 935.88 and 213.36 is: 319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.30 : 935.88 = 213.36 : x
  2. Step 2: Convert to fraction form
    624.30/935.88 = 213.36/x
  3. Step 3: Cross multiply
    624.30x = 935.88 × 213.36
  4. Step 4: Simplify right side
    624.30x = 199,679.36
  5. Step 5: Solve for x
    x = 199,679.36/624.30
  6. Step 6: Final answer
    x = 319.85

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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.