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Finding the Fourth Proportional to 624.73, 937.14 and 316.23

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Solution

The fourth proportional to 624.73, 937.14 and 316.23 is: 474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.73 : 937.14 = 316.23 : x
  2. Step 2: Convert to fraction form
    624.73/937.14 = 316.23/x
  3. Step 3: Cross multiply
    624.73x = 937.14 × 316.23
  4. Step 4: Simplify right side
    624.73x = 296,351.78
  5. Step 5: Solve for x
    x = 296,351.78/624.73
  6. Step 6: Final answer
    x = 474.37

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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.