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Finding the Fourth Proportional to 649.63, 896.42 and 369.84

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Solution

The fourth proportional to 649.63, 896.42 and 369.84 is: 510.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 896.42 = 369.84 : x
  2. Step 2: Convert to fraction form
    649.63/896.42 = 369.84/x
  3. Step 3: Cross multiply
    649.63x = 896.42 × 369.84
  4. Step 4: Simplify right side
    649.63x = 331,532.90
  5. Step 5: Solve for x
    x = 331,532.90/649.63
  6. Step 6: Final answer
    x = 510.34

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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.