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Finding the Fourth Proportional to 380.76, 571.56 and 312.96

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Solution

The fourth proportional to 380.76, 571.56 and 312.96 is: 469.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 571.56 = 312.96 : x
  2. Step 2: Convert to fraction form
    380.76/571.56 = 312.96/x
  3. Step 3: Cross multiply
    380.76x = 571.56 × 312.96
  4. Step 4: Simplify right side
    380.76x = 178,875.42
  5. Step 5: Solve for x
    x = 178,875.42/380.76
  6. Step 6: Final answer
    x = 469.79

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