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Finding the Fourth Proportional to 649.27, 896.09 and 439.08

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Solution

The fourth proportional to 649.27, 896.09 and 439.08 is: 606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 896.09 = 439.08 : x
  2. Step 2: Convert to fraction form
    649.27/896.09 = 439.08/x
  3. Step 3: Cross multiply
    649.27x = 896.09 × 439.08
  4. Step 4: Simplify right side
    649.27x = 393,455.20
  5. Step 5: Solve for x
    x = 393,455.20/649.27
  6. Step 6: Final answer
    x = 606.00

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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.