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Finding the Fourth Proportional to 506.41, 698.83 and 296.56

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Solution

The fourth proportional to 506.41, 698.83 and 296.56 is: 409.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.41 : 698.83 = 296.56 : x
  2. Step 2: Convert to fraction form
    506.41/698.83 = 296.56/x
  3. Step 3: Cross multiply
    506.41x = 698.83 × 296.56
  4. Step 4: Simplify right side
    506.41x = 207,245.02
  5. Step 5: Solve for x
    x = 207,245.02/506.41
  6. Step 6: Final answer
    x = 409.24

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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.