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Finding the Fourth Proportional to 544.19, 750.91 and 323.12

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Solution

The fourth proportional to 544.19, 750.91 and 323.12 is: 445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.19 : 750.91 = 323.12 : x
  2. Step 2: Convert to fraction form
    544.19/750.91 = 323.12/x
  3. Step 3: Cross multiply
    544.19x = 750.91 × 323.12
  4. Step 4: Simplify right side
    544.19x = 242,634.04
  5. Step 5: Solve for x
    x = 242,634.04/544.19
  6. Step 6: Final answer
    x = 445.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.