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Finding the Fourth Proportional to 678.23, 936.17 and 398.57

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Solution

The fourth proportional to 678.23, 936.17 and 398.57 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.23 : 936.17 = 398.57 : x
  2. Step 2: Convert to fraction form
    678.23/936.17 = 398.57/x
  3. Step 3: Cross multiply
    678.23x = 936.17 × 398.57
  4. Step 4: Simplify right side
    678.23x = 373,125.59
  5. Step 5: Solve for x
    x = 373,125.59/678.23
  6. Step 6: Final answer
    x = 550.15

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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.