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Finding the Fourth Proportional to 518.64, 778.45 and 345.43

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Solution

The fourth proportional to 518.64, 778.45 and 345.43 is: 518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.64 : 778.45 = 345.43 : x
  2. Step 2: Convert to fraction form
    518.64/778.45 = 345.43/x
  3. Step 3: Cross multiply
    518.64x = 778.45 × 345.43
  4. Step 4: Simplify right side
    518.64x = 268,896.24
  5. Step 5: Solve for x
    x = 268,896.24/518.64
  6. Step 6: Final answer
    x = 518.47

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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.