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Finding the Fourth Proportional to 350.31, 483.74 and 262.83

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Solution

The fourth proportional to 350.31, 483.74 and 262.83 is: 362.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.31 : 483.74 = 262.83 : x
  2. Step 2: Convert to fraction form
    350.31/483.74 = 262.83/x
  3. Step 3: Cross multiply
    350.31x = 483.74 × 262.83
  4. Step 4: Simplify right side
    350.31x = 127,141.38
  5. Step 5: Solve for x
    x = 127,141.38/350.31
  6. Step 6: Final answer
    x = 362.94

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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.