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Finding the Fourth Proportional to 574.96, 865.67 and 506.92

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Solution

The fourth proportional to 574.96, 865.67 and 506.92 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.96 : 865.67 = 506.92 : x
  2. Step 2: Convert to fraction form
    574.96/865.67 = 506.92/x
  3. Step 3: Cross multiply
    574.96x = 865.67 × 506.92
  4. Step 4: Simplify right side
    574.96x = 438,825.44
  5. Step 5: Solve for x
    x = 438,825.44/574.96
  6. Step 6: Final answer
    x = 763.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.