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Finding the Fourth Proportional to 511.38, 706.59 and 412.97

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Solution

The fourth proportional to 511.38, 706.59 and 412.97 is: 570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.38 : 706.59 = 412.97 : x
  2. Step 2: Convert to fraction form
    511.38/706.59 = 412.97/x
  3. Step 3: Cross multiply
    511.38x = 706.59 × 412.97
  4. Step 4: Simplify right side
    511.38x = 291,796.94
  5. Step 5: Solve for x
    x = 291,796.94/511.38
  6. Step 6: Final answer
    x = 570.61

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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.