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Finding the Fourth Proportional to 578.14, 797.70 and 329.42

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Solution

The fourth proportional to 578.14, 797.70 and 329.42 is: 454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 797.70 = 329.42 : x
  2. Step 2: Convert to fraction form
    578.14/797.70 = 329.42/x
  3. Step 3: Cross multiply
    578.14x = 797.70 × 329.42
  4. Step 4: Simplify right side
    578.14x = 262,775.22
  5. Step 5: Solve for x
    x = 262,775.22/578.14
  6. Step 6: Final answer
    x = 454.52

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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.