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Finding the Fourth Proportional to 491.81, 678.75 and 305.47

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Solution

The fourth proportional to 491.81, 678.75 and 305.47 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 678.75 = 305.47 : x
  2. Step 2: Convert to fraction form
    491.81/678.75 = 305.47/x
  3. Step 3: Cross multiply
    491.81x = 678.75 × 305.47
  4. Step 4: Simplify right side
    491.81x = 207,337.47
  5. Step 5: Solve for x
    x = 207,337.47/491.81
  6. Step 6: Final answer
    x = 421.58

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