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Finding the Fourth Proportional to 579, 798.54 and 422.19

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Solution

The fourth proportional to 579, 798.54 and 422.19 is: 582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    579 : 798.54 = 422.19 : x
  2. Step 2: Convert to fraction form
    579/798.54 = 422.19/x
  3. Step 3: Cross multiply
    579x = 798.54 × 422.19
  4. Step 4: Simplify right side
    579x = 337,135.60
  5. Step 5: Solve for x
    x = 337,135.60/579
  6. Step 6: Final answer
    x = 582.27

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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.