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Finding the Fourth Proportional to 460.83, 635.26 and 336.63

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Solution

The fourth proportional to 460.83, 635.26 and 336.63 is: 464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.83 : 635.26 = 336.63 : x
  2. Step 2: Convert to fraction form
    460.83/635.26 = 336.63/x
  3. Step 3: Cross multiply
    460.83x = 635.26 × 336.63
  4. Step 4: Simplify right side
    460.83x = 213,847.57
  5. Step 5: Solve for x
    x = 213,847.57/460.83
  6. Step 6: Final answer
    x = 464.05

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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.