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Finding the Fourth Proportional to 844.98, 1,268.04 and 297.17

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Solution

The fourth proportional to 844.98, 1,268.04 and 297.17 is: 445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.98 : 1,268.04 = 297.17 : x
  2. Step 2: Convert to fraction form
    844.98/1,268.04 = 297.17/x
  3. Step 3: Cross multiply
    844.98x = 1,268.04 × 297.17
  4. Step 4: Simplify right side
    844.98x = 376,823.45
  5. Step 5: Solve for x
    x = 376,823.45/844.98
  6. Step 6: Final answer
    x = 445.96

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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.