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Finding the Fourth Proportional to 609.74, 913.52 and 416.42

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Solution

The fourth proportional to 609.74, 913.52 and 416.42 is: 623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.74 : 913.52 = 416.42 : x
  2. Step 2: Convert to fraction form
    609.74/913.52 = 416.42/x
  3. Step 3: Cross multiply
    609.74x = 913.52 × 416.42
  4. Step 4: Simplify right side
    609.74x = 380,408.00
  5. Step 5: Solve for x
    x = 380,408.00/609.74
  6. Step 6: Final answer
    x = 623.89

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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.