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Finding the Fourth Proportional to 600.60, 902.28 and 518.64

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Solution

The fourth proportional to 600.60, 902.28 and 518.64 is: 779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.60 : 902.28 = 518.64 : x
  2. Step 2: Convert to fraction form
    600.60/902.28 = 518.64/x
  3. Step 3: Cross multiply
    600.60x = 902.28 × 518.64
  4. Step 4: Simplify right side
    600.60x = 467,958.50
  5. Step 5: Solve for x
    x = 467,958.50/600.60
  6. Step 6: Final answer
    x = 779.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.