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Finding the Fourth Proportional to 816.30, 1,223.99 and 328.78

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Solution

The fourth proportional to 816.30, 1,223.99 and 328.78 is: 492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.30 : 1,223.99 = 328.78 : x
  2. Step 2: Convert to fraction form
    816.30/1,223.99 = 328.78/x
  3. Step 3: Cross multiply
    816.30x = 1,223.99 × 328.78
  4. Step 4: Simplify right side
    816.30x = 402,423.43
  5. Step 5: Solve for x
    x = 402,423.43/816.30
  6. Step 6: Final answer
    x = 492.98

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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.