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Finding the Fourth Proportional to 678.25, 936.08 and 445.51

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Solution

The fourth proportional to 678.25, 936.08 and 445.51 is: 614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.25 : 936.08 = 445.51 : x
  2. Step 2: Convert to fraction form
    678.25/936.08 = 445.51/x
  3. Step 3: Cross multiply
    678.25x = 936.08 × 445.51
  4. Step 4: Simplify right side
    678.25x = 417,033.00
  5. Step 5: Solve for x
    x = 417,033.00/678.25
  6. Step 6: Final answer
    x = 614.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.