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Finding the Fourth Proportional to 458.82, 688.40 and 285.24

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Solution

The fourth proportional to 458.82, 688.40 and 285.24 is: 427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 688.40 = 285.24 : x
  2. Step 2: Convert to fraction form
    458.82/688.40 = 285.24/x
  3. Step 3: Cross multiply
    458.82x = 688.40 × 285.24
  4. Step 4: Simplify right side
    458.82x = 196,357.79
  5. Step 5: Solve for x
    x = 196,357.79/458.82
  6. Step 6: Final answer
    x = 427.96

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