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Finding the Fourth Proportional to 644.60, 889.53 and 382.59

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Solution

The fourth proportional to 644.60, 889.53 and 382.59 is: 527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.60 : 889.53 = 382.59 : x
  2. Step 2: Convert to fraction form
    644.60/889.53 = 382.59/x
  3. Step 3: Cross multiply
    644.60x = 889.53 × 382.59
  4. Step 4: Simplify right side
    644.60x = 340,325.28
  5. Step 5: Solve for x
    x = 340,325.28/644.60
  6. Step 6: Final answer
    x = 527.97

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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.