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Finding the Fourth Proportional to 350.77, 483.72 and 232.84

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Solution

The fourth proportional to 350.77, 483.72 and 232.84 is: 321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.77 : 483.72 = 232.84 : x
  2. Step 2: Convert to fraction form
    350.77/483.72 = 232.84/x
  3. Step 3: Cross multiply
    350.77x = 483.72 × 232.84
  4. Step 4: Simplify right side
    350.77x = 112,629.36
  5. Step 5: Solve for x
    x = 112,629.36/350.77
  6. Step 6: Final answer
    x = 321.09

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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.