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Finding the Fourth Proportional to 649.82, 896.77 and 355.12

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Solution

The fourth proportional to 649.82, 896.77 and 355.12 is: 490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 896.77 = 355.12 : x
  2. Step 2: Convert to fraction form
    649.82/896.77 = 355.12/x
  3. Step 3: Cross multiply
    649.82x = 896.77 × 355.12
  4. Step 4: Simplify right side
    649.82x = 318,460.96
  5. Step 5: Solve for x
    x = 318,460.96/649.82
  6. Step 6: Final answer
    x = 490.08

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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.