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Finding the Fourth Proportional to 460.40, 635.28 and 263.94

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Solution

The fourth proportional to 460.40, 635.28 and 263.94 is: 364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.40 : 635.28 = 263.94 : x
  2. Step 2: Convert to fraction form
    460.40/635.28 = 263.94/x
  3. Step 3: Cross multiply
    460.40x = 635.28 × 263.94
  4. Step 4: Simplify right side
    460.40x = 167,675.80
  5. Step 5: Solve for x
    x = 167,675.80/460.40
  6. Step 6: Final answer
    x = 364.20

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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.