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Finding the Fourth Proportional to 506.82, 699.16 and 296.97

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Solution

The fourth proportional to 506.82, 699.16 and 296.97 is: 409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 699.16 = 296.97 : x
  2. Step 2: Convert to fraction form
    506.82/699.16 = 296.97/x
  3. Step 3: Cross multiply
    506.82x = 699.16 × 296.97
  4. Step 4: Simplify right side
    506.82x = 207,629.55
  5. Step 5: Solve for x
    x = 207,629.55/506.82
  6. Step 6: Final answer
    x = 409.67

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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.