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Finding the Fourth Proportional to 506.35, 698.82 and 423.31

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Solution

The fourth proportional to 506.35, 698.82 and 423.31 is: 584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.35 : 698.82 = 423.31 : x
  2. Step 2: Convert to fraction form
    506.35/698.82 = 423.31/x
  3. Step 3: Cross multiply
    506.35x = 698.82 × 423.31
  4. Step 4: Simplify right side
    506.35x = 295,817.49
  5. Step 5: Solve for x
    x = 295,817.49/506.35
  6. Step 6: Final answer
    x = 584.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.