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Finding the Fourth Proportional to 609.24, 914.46 and 446.46

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Solution

The fourth proportional to 609.24, 914.46 and 446.46 is: 670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 914.46 = 446.46 : x
  2. Step 2: Convert to fraction form
    609.24/914.46 = 446.46/x
  3. Step 3: Cross multiply
    609.24x = 914.46 × 446.46
  4. Step 4: Simplify right side
    609.24x = 408,269.81
  5. Step 5: Solve for x
    x = 408,269.81/609.24
  6. Step 6: Final answer
    x = 670.13

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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.