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Finding the Fourth Proportional to 644.24, 889.06 and 349.52

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Solution

The fourth proportional to 644.24, 889.06 and 349.52 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 889.06 = 349.52 : x
  2. Step 2: Convert to fraction form
    644.24/889.06 = 349.52/x
  3. Step 3: Cross multiply
    644.24x = 889.06 × 349.52
  4. Step 4: Simplify right side
    644.24x = 310,738.93
  5. Step 5: Solve for x
    x = 310,738.93/644.24
  6. Step 6: Final answer
    x = 482.33

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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.