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Finding the Fourth Proportional to 362.68, 500.74 and 279.64

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Solution

The fourth proportional to 362.68, 500.74 and 279.64 is: 386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.68 : 500.74 = 279.64 : x
  2. Step 2: Convert to fraction form
    362.68/500.74 = 279.64/x
  3. Step 3: Cross multiply
    362.68x = 500.74 × 279.64
  4. Step 4: Simplify right side
    362.68x = 140,026.93
  5. Step 5: Solve for x
    x = 140,026.93/362.68
  6. Step 6: Final answer
    x = 386.09

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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.