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Finding the Fourth Proportional to 466.32, 699.60 and 177.78

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Solution

The fourth proportional to 466.32, 699.60 and 177.78 is: 266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 699.60 = 177.78 : x
  2. Step 2: Convert to fraction form
    466.32/699.60 = 177.78/x
  3. Step 3: Cross multiply
    466.32x = 699.60 × 177.78
  4. Step 4: Simplify right side
    466.32x = 124,374.89
  5. Step 5: Solve for x
    x = 124,374.89/466.32
  6. Step 6: Final answer
    x = 266.72

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