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Finding the Fourth Proportional to 518.99, 777.90 and 259.20

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Solution

The fourth proportional to 518.99, 777.90 and 259.20 is: 388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.99 : 777.90 = 259.20 : x
  2. Step 2: Convert to fraction form
    518.99/777.90 = 259.20/x
  3. Step 3: Cross multiply
    518.99x = 777.90 × 259.20
  4. Step 4: Simplify right side
    518.99x = 201,635.42
  5. Step 5: Solve for x
    x = 201,635.42/518.99
  6. Step 6: Final answer
    x = 388.52

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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.