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Finding the Fourth Proportional to 517.92, 777.60 and 355.20

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Solution

The fourth proportional to 517.92, 777.60 and 355.20 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 777.60 = 355.20 : x
  2. Step 2: Convert to fraction form
    517.92/777.60 = 355.20/x
  3. Step 3: Cross multiply
    517.92x = 777.60 × 355.20
  4. Step 4: Simplify right side
    517.92x = 276,203.52
  5. Step 5: Solve for x
    x = 276,203.52/517.92
  6. Step 6: Final answer
    x = 533.29

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