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Finding the Fourth Proportional to 816.26, 1,224.36 and 347.75

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Solution

The fourth proportional to 816.26, 1,224.36 and 347.75 is: 521.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,224.36 = 347.75 : x
  2. Step 2: Convert to fraction form
    816.26/1,224.36 = 347.75/x
  3. Step 3: Cross multiply
    816.26x = 1,224.36 × 347.75
  4. Step 4: Simplify right side
    816.26x = 425,769.66
  5. Step 5: Solve for x
    x = 425,769.66/816.26
  6. Step 6: Final answer
    x = 521.61

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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.