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Finding the Fourth Proportional to 578.20, 797.80 and 345.28

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Solution

The fourth proportional to 578.20, 797.80 and 345.28 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.20 : 797.80 = 345.28 : x
  2. Step 2: Convert to fraction form
    578.20/797.80 = 345.28/x
  3. Step 3: Cross multiply
    578.20x = 797.80 × 345.28
  4. Step 4: Simplify right side
    578.20x = 275,464.38
  5. Step 5: Solve for x
    x = 275,464.38/578.20
  6. Step 6: Final answer
    x = 476.42

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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.