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Finding the Fourth Proportional to 506.73, 699.33 and 310.23

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Solution

The fourth proportional to 506.73, 699.33 and 310.23 is: 428.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.73 : 699.33 = 310.23 : x
  2. Step 2: Convert to fraction form
    506.73/699.33 = 310.23/x
  3. Step 3: Cross multiply
    506.73x = 699.33 × 310.23
  4. Step 4: Simplify right side
    506.73x = 216,953.15
  5. Step 5: Solve for x
    x = 216,953.15/506.73
  6. Step 6: Final answer
    x = 428.14

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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.