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Finding the Fourth Proportional to 544.02, 751.30 and 378.86

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Solution

The fourth proportional to 544.02, 751.30 and 378.86 is: 523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.02 : 751.30 = 378.86 : x
  2. Step 2: Convert to fraction form
    544.02/751.30 = 378.86/x
  3. Step 3: Cross multiply
    544.02x = 751.30 × 378.86
  4. Step 4: Simplify right side
    544.02x = 284,637.52
  5. Step 5: Solve for x
    x = 284,637.52/544.02
  6. Step 6: Final answer
    x = 523.21

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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.