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Finding the Fourth Proportional to 816.25, 1,224.50 and 296.19

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Solution

The fourth proportional to 816.25, 1,224.50 and 296.19 is: 444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.25 : 1,224.50 = 296.19 : x
  2. Step 2: Convert to fraction form
    816.25/1,224.50 = 296.19/x
  3. Step 3: Cross multiply
    816.25x = 1,224.50 × 296.19
  4. Step 4: Simplify right side
    816.25x = 362,684.66
  5. Step 5: Solve for x
    x = 362,684.66/816.25
  6. Step 6: Final answer
    x = 444.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.