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Finding the Fourth Proportional to 536.09, 739.38 and 349.63

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Solution

The fourth proportional to 536.09, 739.38 and 349.63 is: 482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 739.38 = 349.63 : x
  2. Step 2: Convert to fraction form
    536.09/739.38 = 349.63/x
  3. Step 3: Cross multiply
    536.09x = 739.38 × 349.63
  4. Step 4: Simplify right side
    536.09x = 258,511.08
  5. Step 5: Solve for x
    x = 258,511.08/536.09
  6. Step 6: Final answer
    x = 482.22

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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.