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Finding the Fourth Proportional to 544.14, 750.53 and 378.39

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Solution

The fourth proportional to 544.14, 750.53 and 378.39 is: 521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.14 : 750.53 = 378.39 : x
  2. Step 2: Convert to fraction form
    544.14/750.53 = 378.39/x
  3. Step 3: Cross multiply
    544.14x = 750.53 × 378.39
  4. Step 4: Simplify right side
    544.14x = 283,993.05
  5. Step 5: Solve for x
    x = 283,993.05/544.14
  6. Step 6: Final answer
    x = 521.91

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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.