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Finding the Fourth Proportional to 310.56, 468.17 and 262.80

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Solution

The fourth proportional to 310.56, 468.17 and 262.80 is: 396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 468.17 = 262.80 : x
  2. Step 2: Convert to fraction form
    310.56/468.17 = 262.80/x
  3. Step 3: Cross multiply
    310.56x = 468.17 × 262.80
  4. Step 4: Simplify right side
    310.56x = 123,035.08
  5. Step 5: Solve for x
    x = 123,035.08/310.56
  6. Step 6: Final answer
    x = 396.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.