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Finding the Fourth Proportional to 457.98, 686.96 and 214.68

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Solution

The fourth proportional to 457.98, 686.96 and 214.68 is: 322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.98 : 686.96 = 214.68 : x
  2. Step 2: Convert to fraction form
    457.98/686.96 = 214.68/x
  3. Step 3: Cross multiply
    457.98x = 686.96 × 214.68
  4. Step 4: Simplify right side
    457.98x = 147,476.57
  5. Step 5: Solve for x
    x = 147,476.57/457.98
  6. Step 6: Final answer
    x = 322.02

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