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Finding the Fourth Proportional to 678.83, 936.77 and 368.33

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Solution

The fourth proportional to 678.83, 936.77 and 368.33 is: 508.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.83 : 936.77 = 368.33 : x
  2. Step 2: Convert to fraction form
    678.83/936.77 = 368.33/x
  3. Step 3: Cross multiply
    678.83x = 936.77 × 368.33
  4. Step 4: Simplify right side
    678.83x = 345,033.97
  5. Step 5: Solve for x
    x = 345,033.97/678.83
  6. Step 6: Final answer
    x = 508.28

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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.