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Finding the Fourth Proportional to 844.49, 1,266.41 and 405.46

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Solution

The fourth proportional to 844.49, 1,266.41 and 405.46 is: 608.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.49 : 1,266.41 = 405.46 : x
  2. Step 2: Convert to fraction form
    844.49/1,266.41 = 405.46/x
  3. Step 3: Cross multiply
    844.49x = 1,266.41 × 405.46
  4. Step 4: Simplify right side
    844.49x = 513,484.76
  5. Step 5: Solve for x
    x = 513,484.76/844.49
  6. Step 6: Final answer
    x = 608.04

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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.