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Finding the Fourth Proportional to 442.45, 662.75 and 295.59

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Solution

The fourth proportional to 442.45, 662.75 and 295.59 is: 442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.45 : 662.75 = 295.59 : x
  2. Step 2: Convert to fraction form
    442.45/662.75 = 295.59/x
  3. Step 3: Cross multiply
    442.45x = 662.75 × 295.59
  4. Step 4: Simplify right side
    442.45x = 195,902.27
  5. Step 5: Solve for x
    x = 195,902.27/442.45
  6. Step 6: Final answer
    x = 442.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.