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Finding the Fourth Proportional to 460.37, 635.27 and 263.88

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Solution

The fourth proportional to 460.37, 635.27 and 263.88 is: 364.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.37 : 635.27 = 263.88 : x
  2. Step 2: Convert to fraction form
    460.37/635.27 = 263.88/x
  3. Step 3: Cross multiply
    460.37x = 635.27 × 263.88
  4. Step 4: Simplify right side
    460.37x = 167,633.73
  5. Step 5: Solve for x
    x = 167,633.73/460.37
  6. Step 6: Final answer
    x = 364.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.