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Finding the Fourth Proportional to 412.41, 569.07 and 246.59

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Solution

The fourth proportional to 412.41, 569.07 and 246.59 is: 340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.41 : 569.07 = 246.59 : x
  2. Step 2: Convert to fraction form
    412.41/569.07 = 246.59/x
  3. Step 3: Cross multiply
    412.41x = 569.07 × 246.59
  4. Step 4: Simplify right side
    412.41x = 140,323.97
  5. Step 5: Solve for x
    x = 140,323.97/412.41
  6. Step 6: Final answer
    x = 340.26

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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.