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Finding the Fourth Proportional to 816.15, 1,223.94 and 296.02

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Solution

The fourth proportional to 816.15, 1,223.94 and 296.02 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.15 : 1,223.94 = 296.02 : x
  2. Step 2: Convert to fraction form
    816.15/1,223.94 = 296.02/x
  3. Step 3: Cross multiply
    816.15x = 1,223.94 × 296.02
  4. Step 4: Simplify right side
    816.15x = 362,310.72
  5. Step 5: Solve for x
    x = 362,310.72/816.15
  6. Step 6: Final answer
    x = 443.93

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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.