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Finding the Fourth Proportional to 678.93, 936.85 and 380.17

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Solution

The fourth proportional to 678.93, 936.85 and 380.17 is: 524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.93 : 936.85 = 380.17 : x
  2. Step 2: Convert to fraction form
    678.93/936.85 = 380.17/x
  3. Step 3: Cross multiply
    678.93x = 936.85 × 380.17
  4. Step 4: Simplify right side
    678.93x = 356,162.26
  5. Step 5: Solve for x
    x = 356,162.26/678.93
  6. Step 6: Final answer
    x = 524.59

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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.