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Finding the Fourth Proportional to 579.95, 870.23 and 255.54

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Solution

The fourth proportional to 579.95, 870.23 and 255.54 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.95 : 870.23 = 255.54 : x
  2. Step 2: Convert to fraction form
    579.95/870.23 = 255.54/x
  3. Step 3: Cross multiply
    579.95x = 870.23 × 255.54
  4. Step 4: Simplify right side
    579.95x = 222,378.57
  5. Step 5: Solve for x
    x = 222,378.57/579.95
  6. Step 6: Final answer
    x = 383.44

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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.