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Finding the Fourth Proportional to 508.15, 762.24 and 215.78

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Solution

The fourth proportional to 508.15, 762.24 and 215.78 is: 323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.15 : 762.24 = 215.78 : x
  2. Step 2: Convert to fraction form
    508.15/762.24 = 215.78/x
  3. Step 3: Cross multiply
    508.15x = 762.24 × 215.78
  4. Step 4: Simplify right side
    508.15x = 164,472.34
  5. Step 5: Solve for x
    x = 164,472.34/508.15
  6. Step 6: Final answer
    x = 323.67

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