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Finding the Fourth Proportional to 517.96, 775.62 and 286.60

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Solution

The fourth proportional to 517.96, 775.62 and 286.60 is: 429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 775.62 = 286.60 : x
  2. Step 2: Convert to fraction form
    517.96/775.62 = 286.60/x
  3. Step 3: Cross multiply
    517.96x = 775.62 × 286.60
  4. Step 4: Simplify right side
    517.96x = 222,290.75
  5. Step 5: Solve for x
    x = 222,290.75/517.96
  6. Step 6: Final answer
    x = 429.16

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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.