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Finding the Fourth Proportional to 609.49, 840.94 and 360.66

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Solution

The fourth proportional to 609.49, 840.94 and 360.66 is: 497.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.49 : 840.94 = 360.66 : x
  2. Step 2: Convert to fraction form
    609.49/840.94 = 360.66/x
  3. Step 3: Cross multiply
    609.49x = 840.94 × 360.66
  4. Step 4: Simplify right side
    609.49x = 303,295.67
  5. Step 5: Solve for x
    x = 303,295.67/609.49
  6. Step 6: Final answer
    x = 497.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.