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Finding the Fourth Proportional to 609.50, 913.44 and 507.44

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Solution

The fourth proportional to 609.50, 913.44 and 507.44 is: 760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 913.44 = 507.44 : x
  2. Step 2: Convert to fraction form
    609.50/913.44 = 507.44/x
  3. Step 3: Cross multiply
    609.50x = 913.44 × 507.44
  4. Step 4: Simplify right side
    609.50x = 463,515.99
  5. Step 5: Solve for x
    x = 463,515.99/609.50
  6. Step 6: Final answer
    x = 760.49

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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.