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Finding the Fourth Proportional to 678.53, 936.41 and 383.79

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Solution

The fourth proportional to 678.53, 936.41 and 383.79 is: 529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.53 : 936.41 = 383.79 : x
  2. Step 2: Convert to fraction form
    678.53/936.41 = 383.79/x
  3. Step 3: Cross multiply
    678.53x = 936.41 × 383.79
  4. Step 4: Simplify right side
    678.53x = 359,383.28
  5. Step 5: Solve for x
    x = 359,383.28/678.53
  6. Step 6: Final answer
    x = 529.65

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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.