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Finding the Fourth Proportional to 649.26, 896.13 and 415.98

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Solution

The fourth proportional to 649.26, 896.13 and 415.98 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.26 : 896.13 = 415.98 : x
  2. Step 2: Convert to fraction form
    649.26/896.13 = 415.98/x
  3. Step 3: Cross multiply
    649.26x = 896.13 × 415.98
  4. Step 4: Simplify right side
    649.26x = 372,772.16
  5. Step 5: Solve for x
    x = 372,772.16/649.26
  6. Step 6: Final answer
    x = 574.15

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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.