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Finding the Fourth Proportional to 541.93, 747.75 and 376.09

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Solution

The fourth proportional to 541.93, 747.75 and 376.09 is: 518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.93 : 747.75 = 376.09 : x
  2. Step 2: Convert to fraction form
    541.93/747.75 = 376.09/x
  3. Step 3: Cross multiply
    541.93x = 747.75 × 376.09
  4. Step 4: Simplify right side
    541.93x = 281,217.56
  5. Step 5: Solve for x
    x = 281,217.56/541.93
  6. Step 6: Final answer
    x = 518.92

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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.