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Finding the Fourth Proportional to 536.70, 739.83 and 350.16

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Solution

The fourth proportional to 536.70, 739.83 and 350.16 is: 482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 739.83 = 350.16 : x
  2. Step 2: Convert to fraction form
    536.70/739.83 = 350.16/x
  3. Step 3: Cross multiply
    536.70x = 739.83 × 350.16
  4. Step 4: Simplify right side
    536.70x = 259,058.87
  5. Step 5: Solve for x
    x = 259,058.87/536.70
  6. Step 6: Final answer
    x = 482.69

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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.