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Finding the Fourth Proportional to 649.73, 896.66 and 369.99

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Solution

The fourth proportional to 649.73, 896.66 and 369.99 is: 510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 896.66 = 369.99 : x
  2. Step 2: Convert to fraction form
    649.73/896.66 = 369.99/x
  3. Step 3: Cross multiply
    649.73x = 896.66 × 369.99
  4. Step 4: Simplify right side
    649.73x = 331,755.23
  5. Step 5: Solve for x
    x = 331,755.23/649.73
  6. Step 6: Final answer
    x = 510.60

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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.