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Finding the Fourth Proportional to 844.01, 1,266.01 and 296.06

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Solution

The fourth proportional to 844.01, 1,266.01 and 296.06 is: 444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.01 : 1,266.01 = 296.06 : x
  2. Step 2: Convert to fraction form
    844.01/1,266.01 = 296.06/x
  3. Step 3: Cross multiply
    844.01x = 1,266.01 × 296.06
  4. Step 4: Simplify right side
    844.01x = 374,807.85
  5. Step 5: Solve for x
    x = 374,807.85/844.01
  6. Step 6: Final answer
    x = 444.08

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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.