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Finding the Fourth Proportional to 678.71, 936.53 and 398.78

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Solution

The fourth proportional to 678.71, 936.53 and 398.78 is: 550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.71 : 936.53 = 398.78 : x
  2. Step 2: Convert to fraction form
    678.71/936.53 = 398.78/x
  3. Step 3: Cross multiply
    678.71x = 936.53 × 398.78
  4. Step 4: Simplify right side
    678.71x = 373,475.28
  5. Step 5: Solve for x
    x = 373,475.28/678.71
  6. Step 6: Final answer
    x = 550.27

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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.