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Finding the Fourth Proportional to 538.47, 743.36 and 381.87

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Solution

The fourth proportional to 538.47, 743.36 and 381.87 is: 527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 743.36 = 381.87 : x
  2. Step 2: Convert to fraction form
    538.47/743.36 = 381.87/x
  3. Step 3: Cross multiply
    538.47x = 743.36 × 381.87
  4. Step 4: Simplify right side
    538.47x = 283,864.97
  5. Step 5: Solve for x
    x = 283,864.97/538.47
  6. Step 6: Final answer
    x = 527.17

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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.