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Finding the Fourth Proportional to 305.89, 458.80 and 97.64

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Solution

The fourth proportional to 305.89, 458.80 and 97.64 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 458.80 = 97.64 : x
  2. Step 2: Convert to fraction form
    305.89/458.80 = 97.64/x
  3. Step 3: Cross multiply
    305.89x = 458.80 × 97.64
  4. Step 4: Simplify right side
    305.89x = 44,798.62
  5. Step 5: Solve for x
    x = 44,798.62/305.89
  6. Step 6: Final answer
    x = 146.46

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