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Finding the Fourth Proportional to 854.50, 1,280.96 and 415.48

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Solution

The fourth proportional to 854.50, 1,280.96 and 415.48 is: 622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.50 : 1,280.96 = 415.48 : x
  2. Step 2: Convert to fraction form
    854.50/1,280.96 = 415.48/x
  3. Step 3: Cross multiply
    854.50x = 1,280.96 × 415.48
  4. Step 4: Simplify right side
    854.50x = 532,213.26
  5. Step 5: Solve for x
    x = 532,213.26/854.50
  6. Step 6: Final answer
    x = 622.84

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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.