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Finding the Fourth Proportional to 450.67, 674.87 and 285.64

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Solution

The fourth proportional to 450.67, 674.87 and 285.64 is: 427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.67 : 674.87 = 285.64 : x
  2. Step 2: Convert to fraction form
    450.67/674.87 = 285.64/x
  3. Step 3: Cross multiply
    450.67x = 674.87 × 285.64
  4. Step 4: Simplify right side
    450.67x = 192,769.87
  5. Step 5: Solve for x
    x = 192,769.87/450.67
  6. Step 6: Final answer
    x = 427.74

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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.