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Finding the Fourth Proportional to 578.38, 798.14 and 329.70

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Solution

The fourth proportional to 578.38, 798.14 and 329.70 is: 454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.38 : 798.14 = 329.70 : x
  2. Step 2: Convert to fraction form
    578.38/798.14 = 329.70/x
  3. Step 3: Cross multiply
    578.38x = 798.14 × 329.70
  4. Step 4: Simplify right side
    578.38x = 263,146.76
  5. Step 5: Solve for x
    x = 263,146.76/578.38
  6. Step 6: Final answer
    x = 454.97

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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.