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Finding the Fourth Proportional to 649.52, 896.29 and 365.97

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Solution

The fourth proportional to 649.52, 896.29 and 365.97 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.52 : 896.29 = 365.97 : x
  2. Step 2: Convert to fraction form
    649.52/896.29 = 365.97/x
  3. Step 3: Cross multiply
    649.52x = 896.29 × 365.97
  4. Step 4: Simplify right side
    649.52x = 328,012.66
  5. Step 5: Solve for x
    x = 328,012.66/649.52
  6. Step 6: Final answer
    x = 505.00

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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.