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Finding the Fourth Proportional to 460.33, 635.30 and 263.90

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Solution

The fourth proportional to 460.33, 635.30 and 263.90 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.33 : 635.30 = 263.90 : x
  2. Step 2: Convert to fraction form
    460.33/635.30 = 263.90/x
  3. Step 3: Cross multiply
    460.33x = 635.30 × 263.90
  4. Step 4: Simplify right side
    460.33x = 167,655.67
  5. Step 5: Solve for x
    x = 167,655.67/460.33
  6. Step 6: Final answer
    x = 364.21

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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.