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Finding the Fourth Proportional to 844.11, 1,266.34 and 357.16

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Solution

The fourth proportional to 844.11, 1,266.34 and 357.16 is: 535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.11 : 1,266.34 = 357.16 : x
  2. Step 2: Convert to fraction form
    844.11/1,266.34 = 357.16/x
  3. Step 3: Cross multiply
    844.11x = 1,266.34 × 357.16
  4. Step 4: Simplify right side
    844.11x = 452,285.99
  5. Step 5: Solve for x
    x = 452,285.99/844.11
  6. Step 6: Final answer
    x = 535.81

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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.