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Finding the Fourth Proportional to 632.20, 947.78 and 280.55

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Solution

The fourth proportional to 632.20, 947.78 and 280.55 is: 420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.20 : 947.78 = 280.55 : x
  2. Step 2: Convert to fraction form
    632.20/947.78 = 280.55/x
  3. Step 3: Cross multiply
    632.20x = 947.78 × 280.55
  4. Step 4: Simplify right side
    632.20x = 265,893.54
  5. Step 5: Solve for x
    x = 265,893.54/632.20
  6. Step 6: Final answer
    x = 420.59

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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.