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Finding the Fourth Proportional to 644.17, 889.35 and 496.52

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Solution

The fourth proportional to 644.17, 889.35 and 496.52 is: 685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.17 : 889.35 = 496.52 : x
  2. Step 2: Convert to fraction form
    644.17/889.35 = 496.52/x
  3. Step 3: Cross multiply
    644.17x = 889.35 × 496.52
  4. Step 4: Simplify right side
    644.17x = 441,580.06
  5. Step 5: Solve for x
    x = 441,580.06/644.17
  6. Step 6: Final answer
    x = 685.50

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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.