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Finding the Fourth Proportional to 544.14, 750.84 and 323.05

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Solution

The fourth proportional to 544.14, 750.84 and 323.05 is: 445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 750.84 = 323.05 : x
  2. Step 2: Convert to fraction form
    544.14/750.84 = 323.05/x
  3. Step 3: Cross multiply
    544.14x = 750.84 × 323.05
  4. Step 4: Simplify right side
    544.14x = 242,560.96
  5. Step 5: Solve for x
    x = 242,560.96/544.14
  6. Step 6: Final answer
    x = 445.77

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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.