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Finding the Fourth Proportional to 460.40, 635.37 and 263.97

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Solution

The fourth proportional to 460.40, 635.37 and 263.97 is: 364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.40 : 635.37 = 263.97 : x
  2. Step 2: Convert to fraction form
    460.40/635.37 = 263.97/x
  3. Step 3: Cross multiply
    460.40x = 635.37 × 263.97
  4. Step 4: Simplify right side
    460.40x = 167,718.62
  5. Step 5: Solve for x
    x = 167,718.62/460.40
  6. Step 6: Final answer
    x = 364.29

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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.