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Finding the Fourth Proportional to 674.92, 930.96 and 442.06

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Solution

The fourth proportional to 674.92, 930.96 and 442.06 is: 609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.92 : 930.96 = 442.06 : x
  2. Step 2: Convert to fraction form
    674.92/930.96 = 442.06/x
  3. Step 3: Cross multiply
    674.92x = 930.96 × 442.06
  4. Step 4: Simplify right side
    674.92x = 411,540.18
  5. Step 5: Solve for x
    x = 411,540.18/674.92
  6. Step 6: Final answer
    x = 609.76

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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.