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Finding the Fourth Proportional to 642.72, 964.02 and 481.44

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Solution

The fourth proportional to 642.72, 964.02 and 481.44 is: 722.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 964.02 = 481.44 : x
  2. Step 2: Convert to fraction form
    642.72/964.02 = 481.44/x
  3. Step 3: Cross multiply
    642.72x = 964.02 × 481.44
  4. Step 4: Simplify right side
    642.72x = 464,117.79
  5. Step 5: Solve for x
    x = 464,117.79/642.72
  6. Step 6: Final answer
    x = 722.12

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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.