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Finding the Fourth Proportional to 362.94, 500.78 and 230.23

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Solution

The fourth proportional to 362.94, 500.78 and 230.23 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 500.78 = 230.23 : x
  2. Step 2: Convert to fraction form
    362.94/500.78 = 230.23/x
  3. Step 3: Cross multiply
    362.94x = 500.78 × 230.23
  4. Step 4: Simplify right side
    362.94x = 115,294.58
  5. Step 5: Solve for x
    x = 115,294.58/362.94
  6. Step 6: Final answer
    x = 317.67

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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.