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Finding the Fourth Proportional to 609.33, 913.32 and 262.98

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Solution

The fourth proportional to 609.33, 913.32 and 262.98 is: 394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.33 : 913.32 = 262.98 : x
  2. Step 2: Convert to fraction form
    609.33/913.32 = 262.98/x
  3. Step 3: Cross multiply
    609.33x = 913.32 × 262.98
  4. Step 4: Simplify right side
    609.33x = 240,184.89
  5. Step 5: Solve for x
    x = 240,184.89/609.33
  6. Step 6: Final answer
    x = 394.18

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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.