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Finding the Fourth Proportional to 704.92, 972.21 and 442.48

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Solution

The fourth proportional to 704.92, 972.21 and 442.48 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.92 : 972.21 = 442.48 : x
  2. Step 2: Convert to fraction form
    704.92/972.21 = 442.48/x
  3. Step 3: Cross multiply
    704.92x = 972.21 × 442.48
  4. Step 4: Simplify right side
    704.92x = 430,183.48
  5. Step 5: Solve for x
    x = 430,183.48/704.92
  6. Step 6: Final answer
    x = 610.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.