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Finding the Fourth Proportional to 644.83, 889.48 and 411.95

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Solution

The fourth proportional to 644.83, 889.48 and 411.95 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.83 : 889.48 = 411.95 : x
  2. Step 2: Convert to fraction form
    644.83/889.48 = 411.95/x
  3. Step 3: Cross multiply
    644.83x = 889.48 × 411.95
  4. Step 4: Simplify right side
    644.83x = 366,424.02
  5. Step 5: Solve for x
    x = 366,424.02/644.83
  6. Step 6: Final answer
    x = 568.25

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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.