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Finding the Fourth Proportional to 844.81, 1,267.16 and 297.04

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Solution

The fourth proportional to 844.81, 1,267.16 and 297.04 is: 445.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.81 : 1,267.16 = 297.04 : x
  2. Step 2: Convert to fraction form
    844.81/1,267.16 = 297.04/x
  3. Step 3: Cross multiply
    844.81x = 1,267.16 × 297.04
  4. Step 4: Simplify right side
    844.81x = 376,397.21
  5. Step 5: Solve for x
    x = 376,397.21/844.81
  6. Step 6: Final answer
    x = 445.54

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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.