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Finding the Fourth Proportional to 642.72, 963.44 and 450.08

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Solution

The fourth proportional to 642.72, 963.44 and 450.08 is: 674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 963.44 = 450.08 : x
  2. Step 2: Convert to fraction form
    642.72/963.44 = 450.08/x
  3. Step 3: Cross multiply
    642.72x = 963.44 × 450.08
  4. Step 4: Simplify right side
    642.72x = 433,625.08
  5. Step 5: Solve for x
    x = 433,625.08/642.72
  6. Step 6: Final answer
    x = 674.67

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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.