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Finding the Fourth Proportional to 609.36, 913.08 and 377.64

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Solution

The fourth proportional to 609.36, 913.08 and 377.64 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.36 : 913.08 = 377.64 : x
  2. Step 2: Convert to fraction form
    609.36/913.08 = 377.64/x
  3. Step 3: Cross multiply
    609.36x = 913.08 × 377.64
  4. Step 4: Simplify right side
    609.36x = 344,815.53
  5. Step 5: Solve for x
    x = 344,815.53/609.36
  6. Step 6: Final answer
    x = 565.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.