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Finding the Fourth Proportional to 362.69, 500.29 and 275.21

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Solution

The fourth proportional to 362.69, 500.29 and 275.21 is: 379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.69 : 500.29 = 275.21 : x
  2. Step 2: Convert to fraction form
    362.69/500.29 = 275.21/x
  3. Step 3: Cross multiply
    362.69x = 500.29 × 275.21
  4. Step 4: Simplify right side
    362.69x = 137,684.81
  5. Step 5: Solve for x
    x = 137,684.81/362.69
  6. Step 6: Final answer
    x = 379.62

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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.