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Finding the Fourth Proportional to 649.23, 896.13 and 383.64

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Solution

The fourth proportional to 649.23, 896.13 and 383.64 is: 529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 896.13 = 383.64 : x
  2. Step 2: Convert to fraction form
    649.23/896.13 = 383.64/x
  3. Step 3: Cross multiply
    649.23x = 896.13 × 383.64
  4. Step 4: Simplify right side
    649.23x = 343,791.31
  5. Step 5: Solve for x
    x = 343,791.31/649.23
  6. Step 6: Final answer
    x = 529.54

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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.