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Finding the Fourth Proportional to 550.60, 822.56 and 420.24

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Solution

The fourth proportional to 550.60, 822.56 and 420.24 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.60 : 822.56 = 420.24 : x
  2. Step 2: Convert to fraction form
    550.60/822.56 = 420.24/x
  3. Step 3: Cross multiply
    550.60x = 822.56 × 420.24
  4. Step 4: Simplify right side
    550.60x = 345,672.61
  5. Step 5: Solve for x
    x = 345,672.61/550.60
  6. Step 6: Final answer
    x = 627.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.