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Finding the Fourth Proportional to 506.29, 698.66 and 296.47

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Solution

The fourth proportional to 506.29, 698.66 and 296.47 is: 409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.29 : 698.66 = 296.47 : x
  2. Step 2: Convert to fraction form
    506.29/698.66 = 296.47/x
  3. Step 3: Cross multiply
    506.29x = 698.66 × 296.47
  4. Step 4: Simplify right side
    506.29x = 207,131.73
  5. Step 5: Solve for x
    x = 207,131.73/506.29
  6. Step 6: Final answer
    x = 409.12

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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.