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Finding the Fourth Proportional to 362.56, 500.82 and 275.68

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Solution

The fourth proportional to 362.56, 500.82 and 275.68 is: 380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.56 : 500.82 = 275.68 : x
  2. Step 2: Convert to fraction form
    362.56/500.82 = 275.68/x
  3. Step 3: Cross multiply
    362.56x = 500.82 × 275.68
  4. Step 4: Simplify right side
    362.56x = 138,066.06
  5. Step 5: Solve for x
    x = 138,066.06/362.56
  6. Step 6: Final answer
    x = 380.81

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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.