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Finding the Fourth Proportional to 844.58, 1,267.13 and 296.77

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Solution

The fourth proportional to 844.58, 1,267.13 and 296.77 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.58 : 1,267.13 = 296.77 : x
  2. Step 2: Convert to fraction form
    844.58/1,267.13 = 296.77/x
  3. Step 3: Cross multiply
    844.58x = 1,267.13 × 296.77
  4. Step 4: Simplify right side
    844.58x = 376,046.17
  5. Step 5: Solve for x
    x = 376,046.17/844.58
  6. Step 6: Final answer
    x = 445.25

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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.