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Finding the Fourth Proportional to 511.99, 766.91 and 338.74

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Solution

The fourth proportional to 511.99, 766.91 and 338.74 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.99 : 766.91 = 338.74 : x
  2. Step 2: Convert to fraction form
    511.99/766.91 = 338.74/x
  3. Step 3: Cross multiply
    511.99x = 766.91 × 338.74
  4. Step 4: Simplify right side
    511.99x = 259,784.43
  5. Step 5: Solve for x
    x = 259,784.43/511.99
  6. Step 6: Final answer
    x = 507.40

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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.