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Finding the Fourth Proportional to 517.74, 775.78 and 286.28

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Solution

The fourth proportional to 517.74, 775.78 and 286.28 is: 428.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.74 : 775.78 = 286.28 : x
  2. Step 2: Convert to fraction form
    517.74/775.78 = 286.28/x
  3. Step 3: Cross multiply
    517.74x = 775.78 × 286.28
  4. Step 4: Simplify right side
    517.74x = 222,090.30
  5. Step 5: Solve for x
    x = 222,090.30/517.74
  6. Step 6: Final answer
    x = 428.96

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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.