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Finding the Fourth Proportional to 450.08, 674.12 and 414.56

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Solution

The fourth proportional to 450.08, 674.12 and 414.56 is: 620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.08 : 674.12 = 414.56 : x
  2. Step 2: Convert to fraction form
    450.08/674.12 = 414.56/x
  3. Step 3: Cross multiply
    450.08x = 674.12 × 414.56
  4. Step 4: Simplify right side
    450.08x = 279,463.19
  5. Step 5: Solve for x
    x = 279,463.19/450.08
  6. Step 6: Final answer
    x = 620.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.