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Finding the Fourth Proportional to 669.20, 922.60 and 494.24

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Solution

The fourth proportional to 669.20, 922.60 and 494.24 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.20 : 922.60 = 494.24 : x
  2. Step 2: Convert to fraction form
    669.20/922.60 = 494.24/x
  3. Step 3: Cross multiply
    669.20x = 922.60 × 494.24
  4. Step 4: Simplify right side
    669.20x = 455,985.82
  5. Step 5: Solve for x
    x = 455,985.82/669.20
  6. Step 6: Final answer
    x = 681.39

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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.