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Finding the Fourth Proportional to 506.44, 698.27 and 412.92

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Solution

The fourth proportional to 506.44, 698.27 and 412.92 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 698.27 = 412.92 : x
  2. Step 2: Convert to fraction form
    506.44/698.27 = 412.92/x
  3. Step 3: Cross multiply
    506.44x = 698.27 × 412.92
  4. Step 4: Simplify right side
    506.44x = 288,329.65
  5. Step 5: Solve for x
    x = 288,329.65/506.44
  6. Step 6: Final answer
    x = 569.33

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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.