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Finding the Fourth Proportional to 498.73, 687.70 and 312.16

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Solution

The fourth proportional to 498.73, 687.70 and 312.16 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.73 : 687.70 = 312.16 : x
  2. Step 2: Convert to fraction form
    498.73/687.70 = 312.16/x
  3. Step 3: Cross multiply
    498.73x = 687.70 × 312.16
  4. Step 4: Simplify right side
    498.73x = 214,672.43
  5. Step 5: Solve for x
    x = 214,672.43/498.73
  6. Step 6: Final answer
    x = 430.44

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