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Finding the Fourth Proportional to 506.31, 698.84 and 296.47

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Solution

The fourth proportional to 506.31, 698.84 and 296.47 is: 409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 698.84 = 296.47 : x
  2. Step 2: Convert to fraction form
    506.31/698.84 = 296.47/x
  3. Step 3: Cross multiply
    506.31x = 698.84 × 296.47
  4. Step 4: Simplify right side
    506.31x = 207,185.09
  5. Step 5: Solve for x
    x = 207,185.09/506.31
  6. Step 6: Final answer
    x = 409.21

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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.