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Finding the Fourth Proportional to 609.44, 913.76 and 284.96

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Solution

The fourth proportional to 609.44, 913.76 and 284.96 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.44 : 913.76 = 284.96 : x
  2. Step 2: Convert to fraction form
    609.44/913.76 = 284.96/x
  3. Step 3: Cross multiply
    609.44x = 913.76 × 284.96
  4. Step 4: Simplify right side
    609.44x = 260,385.05
  5. Step 5: Solve for x
    x = 260,385.05/609.44
  6. Step 6: Final answer
    x = 427.25

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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.