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Finding the Fourth Proportional to 513.26, 708.46 and 506.78

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Solution

The fourth proportional to 513.26, 708.46 and 506.78 is: 699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.26 : 708.46 = 506.78 : x
  2. Step 2: Convert to fraction form
    513.26/708.46 = 506.78/x
  3. Step 3: Cross multiply
    513.26x = 708.46 × 506.78
  4. Step 4: Simplify right side
    513.26x = 359,033.36
  5. Step 5: Solve for x
    x = 359,033.36/513.26
  6. Step 6: Final answer
    x = 699.52

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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.