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Finding the Fourth Proportional to 506.07, 759.12 and 286.56

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Solution

The fourth proportional to 506.07, 759.12 and 286.56 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.07 : 759.12 = 286.56 : x
  2. Step 2: Convert to fraction form
    506.07/759.12 = 286.56/x
  3. Step 3: Cross multiply
    506.07x = 759.12 × 286.56
  4. Step 4: Simplify right side
    506.07x = 217,533.43
  5. Step 5: Solve for x
    x = 217,533.43/506.07
  6. Step 6: Final answer
    x = 429.85

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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.