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Finding the Fourth Proportional to 506.98, 699.67 and 310.47

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Solution

The fourth proportional to 506.98, 699.67 and 310.47 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.98 : 699.67 = 310.47 : x
  2. Step 2: Convert to fraction form
    506.98/699.67 = 310.47/x
  3. Step 3: Cross multiply
    506.98x = 699.67 × 310.47
  4. Step 4: Simplify right side
    506.98x = 217,226.54
  5. Step 5: Solve for x
    x = 217,226.54/506.98
  6. Step 6: Final answer
    x = 428.47

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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.