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Finding the Fourth Proportional to 506.96, 699.56 and 310.46

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Solution

The fourth proportional to 506.96, 699.56 and 310.46 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 699.56 = 310.46 : x
  2. Step 2: Convert to fraction form
    506.96/699.56 = 310.46/x
  3. Step 3: Cross multiply
    506.96x = 699.56 × 310.46
  4. Step 4: Simplify right side
    506.96x = 217,185.59
  5. Step 5: Solve for x
    x = 217,185.59/506.96
  6. Step 6: Final answer
    x = 428.41

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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.