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Finding the Fourth Proportional to 609.86, 913.08 and 424.37

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Solution

The fourth proportional to 609.86, 913.08 and 424.37 is: 635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.86 : 913.08 = 424.37 : x
  2. Step 2: Convert to fraction form
    609.86/913.08 = 424.37/x
  3. Step 3: Cross multiply
    609.86x = 913.08 × 424.37
  4. Step 4: Simplify right side
    609.86x = 387,483.76
  5. Step 5: Solve for x
    x = 387,483.76/609.86
  6. Step 6: Final answer
    x = 635.37

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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.