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Finding the Fourth Proportional to 398.64, 597.96 and 124.80

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Solution

The fourth proportional to 398.64, 597.96 and 124.80 is: 187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.64 : 597.96 = 124.80 : x
  2. Step 2: Convert to fraction form
    398.64/597.96 = 124.80/x
  3. Step 3: Cross multiply
    398.64x = 597.96 × 124.80
  4. Step 4: Simplify right side
    398.64x = 74,625.41
  5. Step 5: Solve for x
    x = 74,625.41/398.64
  6. Step 6: Final answer
    x = 187.20

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