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Finding the Fourth Proportional to 704.43, 972.24 and 442.38

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Solution

The fourth proportional to 704.43, 972.24 and 442.38 is: 610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.43 : 972.24 = 442.38 : x
  2. Step 2: Convert to fraction form
    704.43/972.24 = 442.38/x
  3. Step 3: Cross multiply
    704.43x = 972.24 × 442.38
  4. Step 4: Simplify right side
    704.43x = 430,099.53
  5. Step 5: Solve for x
    x = 430,099.53/704.43
  6. Step 6: Final answer
    x = 610.56

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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.