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Finding the Fourth Proportional to 506.18, 759.34 and 286.56

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Solution

The fourth proportional to 506.18, 759.34 and 286.56 is: 429.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.18 : 759.34 = 286.56 : x
  2. Step 2: Convert to fraction form
    506.18/759.34 = 286.56/x
  3. Step 3: Cross multiply
    506.18x = 759.34 × 286.56
  4. Step 4: Simplify right side
    506.18x = 217,596.47
  5. Step 5: Solve for x
    x = 217,596.47/506.18
  6. Step 6: Final answer
    x = 429.88

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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.