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Finding the Fourth Proportional to 609.75, 912.33 and 374.67

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Solution

The fourth proportional to 609.75, 912.33 and 374.67 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.75 : 912.33 = 374.67 : x
  2. Step 2: Convert to fraction form
    609.75/912.33 = 374.67/x
  3. Step 3: Cross multiply
    609.75x = 912.33 × 374.67
  4. Step 4: Simplify right side
    609.75x = 341,822.68
  5. Step 5: Solve for x
    x = 341,822.68/609.75
  6. Step 6: Final answer
    x = 560.59

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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.