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Finding the Fourth Proportional to 460.82, 635.92 and 264.32

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Solution

The fourth proportional to 460.82, 635.92 and 264.32 is: 364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.82 : 635.92 = 264.32 : x
  2. Step 2: Convert to fraction form
    460.82/635.92 = 264.32/x
  3. Step 3: Cross multiply
    460.82x = 635.92 × 264.32
  4. Step 4: Simplify right side
    460.82x = 168,086.37
  5. Step 5: Solve for x
    x = 168,086.37/460.82
  6. Step 6: Final answer
    x = 364.75

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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.