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Finding the Fourth Proportional to 579.78, 869.69 and 255.07

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Solution

The fourth proportional to 579.78, 869.69 and 255.07 is: 382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.78 : 869.69 = 255.07 : x
  2. Step 2: Convert to fraction form
    579.78/869.69 = 255.07/x
  3. Step 3: Cross multiply
    579.78x = 869.69 × 255.07
  4. Step 4: Simplify right side
    579.78x = 221,831.83
  5. Step 5: Solve for x
    x = 221,831.83/579.78
  6. Step 6: Final answer
    x = 382.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.