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Finding the Fourth Proportional to 506.78, 699.52 and 310.38

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Solution

The fourth proportional to 506.78, 699.52 and 310.38 is: 428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.78 : 699.52 = 310.38 : x
  2. Step 2: Convert to fraction form
    506.78/699.52 = 310.38/x
  3. Step 3: Cross multiply
    506.78x = 699.52 × 310.38
  4. Step 4: Simplify right side
    506.78x = 217,117.02
  5. Step 5: Solve for x
    x = 217,117.02/506.78
  6. Step 6: Final answer
    x = 428.42

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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.