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Finding the Fourth Proportional to 412.91, 569.54 and 255.59

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Solution

The fourth proportional to 412.91, 569.54 and 255.59 is: 352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.91 : 569.54 = 255.59 : x
  2. Step 2: Convert to fraction form
    412.91/569.54 = 255.59/x
  3. Step 3: Cross multiply
    412.91x = 569.54 × 255.59
  4. Step 4: Simplify right side
    412.91x = 145,564.60
  5. Step 5: Solve for x
    x = 145,564.60/412.91
  6. Step 6: Final answer
    x = 352.54

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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.