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Finding the Fourth Proportional to 704.62, 972.46 and 442.60

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Solution

The fourth proportional to 704.62, 972.46 and 442.60 is: 610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.62 : 972.46 = 442.60 : x
  2. Step 2: Convert to fraction form
    704.62/972.46 = 442.60/x
  3. Step 3: Cross multiply
    704.62x = 972.46 × 442.60
  4. Step 4: Simplify right side
    704.62x = 430,410.80
  5. Step 5: Solve for x
    x = 430,410.80/704.62
  6. Step 6: Final answer
    x = 610.84

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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.