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Finding the Fourth Proportional to 649.85, 896.80 and 355.14

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Solution

The fourth proportional to 649.85, 896.80 and 355.14 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.85 : 896.80 = 355.14 : x
  2. Step 2: Convert to fraction form
    649.85/896.80 = 355.14/x
  3. Step 3: Cross multiply
    649.85x = 896.80 × 355.14
  4. Step 4: Simplify right side
    649.85x = 318,489.55
  5. Step 5: Solve for x
    x = 318,489.55/649.85
  6. Step 6: Final answer
    x = 490.10

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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.