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Finding the Fourth Proportional to 506.65, 699.25 and 296.91

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Solution

The fourth proportional to 506.65, 699.25 and 296.91 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.65 : 699.25 = 296.91 : x
  2. Step 2: Convert to fraction form
    506.65/699.25 = 296.91/x
  3. Step 3: Cross multiply
    506.65x = 699.25 × 296.91
  4. Step 4: Simplify right side
    506.65x = 207,616.44
  5. Step 5: Solve for x
    x = 207,616.44/506.65
  6. Step 6: Final answer
    x = 409.78

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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.