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Finding the Fourth Proportional to 506.20, 698.46 and 285.14

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Solution

The fourth proportional to 506.20, 698.46 and 285.14 is: 393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.20 : 698.46 = 285.14 : x
  2. Step 2: Convert to fraction form
    506.20/698.46 = 285.14/x
  3. Step 3: Cross multiply
    506.20x = 698.46 × 285.14
  4. Step 4: Simplify right side
    506.20x = 199,158.88
  5. Step 5: Solve for x
    x = 199,158.88/506.20
  6. Step 6: Final answer
    x = 393.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.