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Finding the Fourth Proportional to 678.62, 936.60 and 398.87

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Solution

The fourth proportional to 678.62, 936.60 and 398.87 is: 550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 936.60 = 398.87 : x
  2. Step 2: Convert to fraction form
    678.62/936.60 = 398.87/x
  3. Step 3: Cross multiply
    678.62x = 936.60 × 398.87
  4. Step 4: Simplify right side
    678.62x = 373,581.64
  5. Step 5: Solve for x
    x = 373,581.64/678.62
  6. Step 6: Final answer
    x = 550.50

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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.