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Finding the Fourth Proportional to 536.09, 739.94 and 350.04

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Solution

The fourth proportional to 536.09, 739.94 and 350.04 is: 483.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 739.94 = 350.04 : x
  2. Step 2: Convert to fraction form
    536.09/739.94 = 350.04/x
  3. Step 3: Cross multiply
    536.09x = 739.94 × 350.04
  4. Step 4: Simplify right side
    536.09x = 259,006.85
  5. Step 5: Solve for x
    x = 259,006.85/536.09
  6. Step 6: Final answer
    x = 483.15

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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.