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Finding the Fourth Proportional to 684.99, 944.73 and 422.82

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Solution

The fourth proportional to 684.99, 944.73 and 422.82 is: 583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.99 : 944.73 = 422.82 : x
  2. Step 2: Convert to fraction form
    684.99/944.73 = 422.82/x
  3. Step 3: Cross multiply
    684.99x = 944.73 × 422.82
  4. Step 4: Simplify right side
    684.99x = 399,450.74
  5. Step 5: Solve for x
    x = 399,450.74/684.99
  6. Step 6: Final answer
    x = 583.15

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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.