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Finding the Fourth Proportional to 384.76, 577.23 and 192.34

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Solution

The fourth proportional to 384.76, 577.23 and 192.34 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.76 : 577.23 = 192.34 : x
  2. Step 2: Convert to fraction form
    384.76/577.23 = 192.34/x
  3. Step 3: Cross multiply
    384.76x = 577.23 × 192.34
  4. Step 4: Simplify right side
    384.76x = 111,024.42
  5. Step 5: Solve for x
    x = 111,024.42/384.76
  6. Step 6: Final answer
    x = 288.55

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