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Finding the Fourth Proportional to 816.06, 1,223.46 and 328.80

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Solution

The fourth proportional to 816.06, 1,223.46 and 328.80 is: 492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.06 : 1,223.46 = 328.80 : x
  2. Step 2: Convert to fraction form
    816.06/1,223.46 = 328.80/x
  3. Step 3: Cross multiply
    816.06x = 1,223.46 × 328.80
  4. Step 4: Simplify right side
    816.06x = 402,273.65
  5. Step 5: Solve for x
    x = 402,273.65/816.06
  6. Step 6: Final answer
    x = 492.95

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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.