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Finding the Fourth Proportional to 644.47, 888.37 and 411.19

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Solution

The fourth proportional to 644.47, 888.37 and 411.19 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.47 : 888.37 = 411.19 : x
  2. Step 2: Convert to fraction form
    644.47/888.37 = 411.19/x
  3. Step 3: Cross multiply
    644.47x = 888.37 × 411.19
  4. Step 4: Simplify right side
    644.47x = 365,288.86
  5. Step 5: Solve for x
    x = 365,288.86/644.47
  6. Step 6: Final answer
    x = 566.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.