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Finding the Fourth Proportional to 620.49, 855.81 and 423.66

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Solution

The fourth proportional to 620.49, 855.81 and 423.66 is: 584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.49 : 855.81 = 423.66 : x
  2. Step 2: Convert to fraction form
    620.49/855.81 = 423.66/x
  3. Step 3: Cross multiply
    620.49x = 855.81 × 423.66
  4. Step 4: Simplify right side
    620.49x = 362,572.46
  5. Step 5: Solve for x
    x = 362,572.46/620.49
  6. Step 6: Final answer
    x = 584.33

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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.