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Finding the Fourth Proportional to 555.44, 766.38 and 378.09

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Solution

The fourth proportional to 555.44, 766.38 and 378.09 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.44 : 766.38 = 378.09 : x
  2. Step 2: Convert to fraction form
    555.44/766.38 = 378.09/x
  3. Step 3: Cross multiply
    555.44x = 766.38 × 378.09
  4. Step 4: Simplify right side
    555.44x = 289,760.61
  5. Step 5: Solve for x
    x = 289,760.61/555.44
  6. Step 6: Final answer
    x = 521.68

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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.