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Finding the Fourth Proportional to 578.40, 798.16 and 329.71

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Solution

The fourth proportional to 578.40, 798.16 and 329.71 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 798.16 = 329.71 : x
  2. Step 2: Convert to fraction form
    578.40/798.16 = 329.71/x
  3. Step 3: Cross multiply
    578.40x = 798.16 × 329.71
  4. Step 4: Simplify right side
    578.40x = 263,161.33
  5. Step 5: Solve for x
    x = 263,161.33/578.40
  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.