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Finding the Fourth Proportional to 538.47, 743.25 and 361.74

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Solution

The fourth proportional to 538.47, 743.25 and 361.74 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 743.25 = 361.74 : x
  2. Step 2: Convert to fraction form
    538.47/743.25 = 361.74/x
  3. Step 3: Cross multiply
    538.47x = 743.25 × 361.74
  4. Step 4: Simplify right side
    538.47x = 268,863.26
  5. Step 5: Solve for x
    x = 268,863.26/538.47
  6. Step 6: Final answer
    x = 499.31

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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.