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Finding the Fourth Proportional to 649.89, 974.94 and 239.61

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Solution

The fourth proportional to 649.89, 974.94 and 239.61 is: 359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 974.94 = 239.61 : x
  2. Step 2: Convert to fraction form
    649.89/974.94 = 239.61/x
  3. Step 3: Cross multiply
    649.89x = 974.94 × 239.61
  4. Step 4: Simplify right side
    649.89x = 233,605.37
  5. Step 5: Solve for x
    x = 233,605.37/649.89
  6. Step 6: Final answer
    x = 359.45

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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.