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Finding the Fourth Proportional to 544.12, 750.78 and 323.14

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Solution

The fourth proportional to 544.12, 750.78 and 323.14 is: 445.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.12 : 750.78 = 323.14 : x
  2. Step 2: Convert to fraction form
    544.12/750.78 = 323.14/x
  3. Step 3: Cross multiply
    544.12x = 750.78 × 323.14
  4. Step 4: Simplify right side
    544.12x = 242,607.05
  5. Step 5: Solve for x
    x = 242,607.05/544.12
  6. Step 6: Final answer
    x = 445.87

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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.