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Finding the Fourth Proportional to 539.03, 743.08 and 381.17

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Solution

The fourth proportional to 539.03, 743.08 and 381.17 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.03 : 743.08 = 381.17 : x
  2. Step 2: Convert to fraction form
    539.03/743.08 = 381.17/x
  3. Step 3: Cross multiply
    539.03x = 743.08 × 381.17
  4. Step 4: Simplify right side
    539.03x = 283,238.85
  5. Step 5: Solve for x
    x = 283,238.85/539.03
  6. Step 6: Final answer
    x = 525.46

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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.