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Finding the Fourth Proportional to 460.67, 635.85 and 350.37

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Solution

The fourth proportional to 460.67, 635.85 and 350.37 is: 483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.67 : 635.85 = 350.37 : x
  2. Step 2: Convert to fraction form
    460.67/635.85 = 350.37/x
  3. Step 3: Cross multiply
    460.67x = 635.85 × 350.37
  4. Step 4: Simplify right side
    460.67x = 222,782.76
  5. Step 5: Solve for x
    x = 222,782.76/460.67
  6. Step 6: Final answer
    x = 483.61

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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.