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Finding the Fourth Proportional to 609.46, 914.52 and 263.14

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Solution

The fourth proportional to 609.46, 914.52 and 263.14 is: 394.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.46 : 914.52 = 263.14 : x
  2. Step 2: Convert to fraction form
    609.46/914.52 = 263.14/x
  3. Step 3: Cross multiply
    609.46x = 914.52 × 263.14
  4. Step 4: Simplify right side
    609.46x = 240,646.79
  5. Step 5: Solve for x
    x = 240,646.79/609.46
  6. Step 6: Final answer
    x = 394.85

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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.