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Finding the Fourth Proportional to 678.25, 936.33 and 442.54

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Solution

The fourth proportional to 678.25, 936.33 and 442.54 is: 610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.25 : 936.33 = 442.54 : x
  2. Step 2: Convert to fraction form
    678.25/936.33 = 442.54/x
  3. Step 3: Cross multiply
    678.25x = 936.33 × 442.54
  4. Step 4: Simplify right side
    678.25x = 414,361.14
  5. Step 5: Solve for x
    x = 414,361.14/678.25
  6. Step 6: Final answer
    x = 610.93

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Why These Related Problems?

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