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Finding the Fourth Proportional to 517.19, 775.05 and 286.18

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Solution

The fourth proportional to 517.19, 775.05 and 286.18 is: 428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.19 : 775.05 = 286.18 : x
  2. Step 2: Convert to fraction form
    517.19/775.05 = 286.18/x
  3. Step 3: Cross multiply
    517.19x = 775.05 × 286.18
  4. Step 4: Simplify right side
    517.19x = 221,800.80
  5. Step 5: Solve for x
    x = 221,800.80/517.19
  6. Step 6: Final answer
    x = 428.86

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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.