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Finding the Fourth Proportional to 649.72, 896.14 and 453.28

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Solution

The fourth proportional to 649.72, 896.14 and 453.28 is: 625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 896.14 = 453.28 : x
  2. Step 2: Convert to fraction form
    649.72/896.14 = 453.28/x
  3. Step 3: Cross multiply
    649.72x = 896.14 × 453.28
  4. Step 4: Simplify right side
    649.72x = 406,202.34
  5. Step 5: Solve for x
    x = 406,202.34/649.72
  6. Step 6: Final answer
    x = 625.20

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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.