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Finding the Fourth Proportional to 412.83, 569.77 and 255.49

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Solution

The fourth proportional to 412.83, 569.77 and 255.49 is: 352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.83 : 569.77 = 255.49 : x
  2. Step 2: Convert to fraction form
    412.83/569.77 = 255.49/x
  3. Step 3: Cross multiply
    412.83x = 569.77 × 255.49
  4. Step 4: Simplify right side
    412.83x = 145,568.47
  5. Step 5: Solve for x
    x = 145,568.47/412.83
  6. Step 6: Final answer
    x = 352.61

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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.