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Finding the Fourth Proportional to 388.32, 582.64 and 214.96

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Solution

The fourth proportional to 388.32, 582.64 and 214.96 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.32 : 582.64 = 214.96 : x
  2. Step 2: Convert to fraction form
    388.32/582.64 = 214.96/x
  3. Step 3: Cross multiply
    388.32x = 582.64 × 214.96
  4. Step 4: Simplify right side
    388.32x = 125,244.29
  5. Step 5: Solve for x
    x = 125,244.29/388.32
  6. Step 6: Final answer
    x = 322.53

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