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Finding the Fourth Proportional to 517.42, 775.99 and 286.44

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Solution

The fourth proportional to 517.42, 775.99 and 286.44 is: 429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.42 : 775.99 = 286.44 : x
  2. Step 2: Convert to fraction form
    517.42/775.99 = 286.44/x
  3. Step 3: Cross multiply
    517.42x = 775.99 × 286.44
  4. Step 4: Simplify right side
    517.42x = 222,274.58
  5. Step 5: Solve for x
    x = 222,274.58/517.42
  6. Step 6: Final answer
    x = 429.58

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Why These Related Problems?

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