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Finding the Fourth Proportional to 578.30, 798 and 329.68

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Solution

The fourth proportional to 578.30, 798 and 329.68 is: 454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.30 : 798 = 329.68 : x
  2. Step 2: Convert to fraction form
    578.30/798 = 329.68/x
  3. Step 3: Cross multiply
    578.30x = 798 × 329.68
  4. Step 4: Simplify right side
    578.30x = 263,084.64
  5. Step 5: Solve for x
    x = 263,084.64/578.30
  6. Step 6: Final answer
    x = 454.93

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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.