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Finding the Fourth Proportional to 385.36, 531.76 and 214.99

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Solution

The fourth proportional to 385.36, 531.76 and 214.99 is: 296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.36 : 531.76 = 214.99 : x
  2. Step 2: Convert to fraction form
    385.36/531.76 = 214.99/x
  3. Step 3: Cross multiply
    385.36x = 531.76 × 214.99
  4. Step 4: Simplify right side
    385.36x = 114,323.08
  5. Step 5: Solve for x
    x = 114,323.08/385.36
  6. Step 6: Final answer
    x = 296.67

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