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Finding the Fourth Proportional to 450.75, 672.23 and 419.97

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Solution

The fourth proportional to 450.75, 672.23 and 419.97 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 672.23 = 419.97 : x
  2. Step 2: Convert to fraction form
    450.75/672.23 = 419.97/x
  3. Step 3: Cross multiply
    450.75x = 672.23 × 419.97
  4. Step 4: Simplify right side
    450.75x = 282,316.43
  5. Step 5: Solve for x
    x = 282,316.43/450.75
  6. Step 6: Final answer
    x = 626.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.