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Finding the Fourth Proportional to 506.27, 698.27 and 309.84

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Solution

The fourth proportional to 506.27, 698.27 and 309.84 is: 427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 698.27 = 309.84 : x
  2. Step 2: Convert to fraction form
    506.27/698.27 = 309.84/x
  3. Step 3: Cross multiply
    506.27x = 698.27 × 309.84
  4. Step 4: Simplify right side
    506.27x = 216,350.43
  5. Step 5: Solve for x
    x = 216,350.43/506.27
  6. Step 6: Final answer
    x = 427.35

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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.