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Finding the Fourth Proportional to 644.28, 889.33 and 434.33

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Solution

The fourth proportional to 644.28, 889.33 and 434.33 is: 599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.28 : 889.33 = 434.33 : x
  2. Step 2: Convert to fraction form
    644.28/889.33 = 434.33/x
  3. Step 3: Cross multiply
    644.28x = 889.33 × 434.33
  4. Step 4: Simplify right side
    644.28x = 386,258.25
  5. Step 5: Solve for x
    x = 386,258.25/644.28
  6. Step 6: Final answer
    x = 599.52

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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.