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Finding the Fourth Proportional to 578.28, 798.06 and 329.68

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Solution

The fourth proportional to 578.28, 798.06 and 329.68 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.28 : 798.06 = 329.68 : x
  2. Step 2: Convert to fraction form
    578.28/798.06 = 329.68/x
  3. Step 3: Cross multiply
    578.28x = 798.06 × 329.68
  4. Step 4: Simplify right side
    578.28x = 263,104.42
  5. Step 5: Solve for x
    x = 263,104.42/578.28
  6. Step 6: Final answer
    x = 454.98

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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.