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Finding the Fourth Proportional to 649.64, 896.82 and 453.08

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Solution

The fourth proportional to 649.64, 896.82 and 453.08 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.64 : 896.82 = 453.08 : x
  2. Step 2: Convert to fraction form
    649.64/896.82 = 453.08/x
  3. Step 3: Cross multiply
    649.64x = 896.82 × 453.08
  4. Step 4: Simplify right side
    649.64x = 406,331.21
  5. Step 5: Solve for x
    x = 406,331.21/649.64
  6. Step 6: Final answer
    x = 625.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.