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Finding the Fourth Proportional to 544.06, 816.99 and 301.06

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Solution

The fourth proportional to 544.06, 816.99 and 301.06 is: 452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.06 : 816.99 = 301.06 : x
  2. Step 2: Convert to fraction form
    544.06/816.99 = 301.06/x
  3. Step 3: Cross multiply
    544.06x = 816.99 × 301.06
  4. Step 4: Simplify right side
    544.06x = 245,963.01
  5. Step 5: Solve for x
    x = 245,963.01/544.06
  6. Step 6: Final answer
    x = 452.09

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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.