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Finding the Fourth Proportional to 468.20, 702.94 and 323.56

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Solution

The fourth proportional to 468.20, 702.94 and 323.56 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.20 : 702.94 = 323.56 : x
  2. Step 2: Convert to fraction form
    468.20/702.94 = 323.56/x
  3. Step 3: Cross multiply
    468.20x = 702.94 × 323.56
  4. Step 4: Simplify right side
    468.20x = 227,443.27
  5. Step 5: Solve for x
    x = 227,443.27/468.20
  6. Step 6: Final answer
    x = 485.78

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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.