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Finding the Fourth Proportional to 491.66, 678.78 and 314.72

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Solution

The fourth proportional to 491.66, 678.78 and 314.72 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.66 : 678.78 = 314.72 : x
  2. Step 2: Convert to fraction form
    491.66/678.78 = 314.72/x
  3. Step 3: Cross multiply
    491.66x = 678.78 × 314.72
  4. Step 4: Simplify right side
    491.66x = 213,625.64
  5. Step 5: Solve for x
    x = 213,625.64/491.66
  6. Step 6: Final answer
    x = 434.50

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