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Finding the Fourth Proportional to 536.39, 739.96 and 350.04

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Solution

The fourth proportional to 536.39, 739.96 and 350.04 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.39 : 739.96 = 350.04 : x
  2. Step 2: Convert to fraction form
    536.39/739.96 = 350.04/x
  3. Step 3: Cross multiply
    536.39x = 739.96 × 350.04
  4. Step 4: Simplify right side
    536.39x = 259,015.60
  5. Step 5: Solve for x
    x = 259,015.60/536.39
  6. Step 6: Final answer
    x = 482.89

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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.