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Finding the Fourth Proportional to 609.24, 914.06 and 284.63

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Solution

The fourth proportional to 609.24, 914.06 and 284.63 is: 427.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 914.06 = 284.63 : x
  2. Step 2: Convert to fraction form
    609.24/914.06 = 284.63/x
  3. Step 3: Cross multiply
    609.24x = 914.06 × 284.63
  4. Step 4: Simplify right side
    609.24x = 260,168.90
  5. Step 5: Solve for x
    x = 260,168.90/609.24
  6. Step 6: Final answer
    x = 427.04

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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.