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Finding the Fourth Proportional to 649.96, 896.96 and 355.23

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Solution

The fourth proportional to 649.96, 896.96 and 355.23 is: 490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.96 : 896.96 = 355.23 : x
  2. Step 2: Convert to fraction form
    649.96/896.96 = 355.23/x
  3. Step 3: Cross multiply
    649.96x = 896.96 × 355.23
  4. Step 4: Simplify right side
    649.96x = 318,627.10
  5. Step 5: Solve for x
    x = 318,627.10/649.96
  6. Step 6: Final answer
    x = 490.23

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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.