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Finding the Fourth Proportional to 536.45, 739.82 and 339.62

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Solution

The fourth proportional to 536.45, 739.82 and 339.62 is: 468.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.45 : 739.82 = 339.62 : x
  2. Step 2: Convert to fraction form
    536.45/739.82 = 339.62/x
  3. Step 3: Cross multiply
    536.45x = 739.82 × 339.62
  4. Step 4: Simplify right side
    536.45x = 251,255.97
  5. Step 5: Solve for x
    x = 251,255.97/536.45
  6. Step 6: Final answer
    x = 468.37

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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.