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Finding the Fourth Proportional to 415.20, 573.84 and 384.96

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Solution

The fourth proportional to 415.20, 573.84 and 384.96 is: 532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.20 : 573.84 = 384.96 : x
  2. Step 2: Convert to fraction form
    415.20/573.84 = 384.96/x
  3. Step 3: Cross multiply
    415.20x = 573.84 × 384.96
  4. Step 4: Simplify right side
    415.20x = 220,905.45
  5. Step 5: Solve for x
    x = 220,905.45/415.20
  6. Step 6: Final answer
    x = 532.05

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