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Finding the Fourth Proportional to 704.44, 972.12 and 442.60

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Solution

The fourth proportional to 704.44, 972.12 and 442.60 is: 610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 972.12 = 442.60 : x
  2. Step 2: Convert to fraction form
    704.44/972.12 = 442.60/x
  3. Step 3: Cross multiply
    704.44x = 972.12 × 442.60
  4. Step 4: Simplify right side
    704.44x = 430,260.31
  5. Step 5: Solve for x
    x = 430,260.31/704.44
  6. Step 6: Final answer
    x = 610.78

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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.