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Finding the Fourth Proportional to 536.44, 739.97 and 339.61

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Solution

The fourth proportional to 536.44, 739.97 and 339.61 is: 468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 739.97 = 339.61 : x
  2. Step 2: Convert to fraction form
    536.44/739.97 = 339.61/x
  3. Step 3: Cross multiply
    536.44x = 739.97 × 339.61
  4. Step 4: Simplify right side
    536.44x = 251,301.21
  5. Step 5: Solve for x
    x = 251,301.21/536.44
  6. Step 6: Final answer
    x = 468.46

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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.