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Finding the Fourth Proportional to 362.81, 500.76 and 231.80

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Solution

The fourth proportional to 362.81, 500.76 and 231.80 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 500.76 = 231.80 : x
  2. Step 2: Convert to fraction form
    362.81/500.76 = 231.80/x
  3. Step 3: Cross multiply
    362.81x = 500.76 × 231.80
  4. Step 4: Simplify right side
    362.81x = 116,072.51
  5. Step 5: Solve for x
    x = 116,072.51/362.81
  6. Step 6: Final answer
    x = 319.93

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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.