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Finding the Fourth Proportional to 536.40, 739.92 and 361.44

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Solution

The fourth proportional to 536.40, 739.92 and 361.44 is: 498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.40 : 739.92 = 361.44 : x
  2. Step 2: Convert to fraction form
    536.40/739.92 = 361.44/x
  3. Step 3: Cross multiply
    536.40x = 739.92 × 361.44
  4. Step 4: Simplify right side
    536.40x = 267,436.68
  5. Step 5: Solve for x
    x = 267,436.68/536.40
  6. Step 6: Final answer
    x = 498.58

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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.