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Finding the Fourth Proportional to 442.74, 664.38 and 280.50

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Solution

The fourth proportional to 442.74, 664.38 and 280.50 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.74 : 664.38 = 280.50 : x
  2. Step 2: Convert to fraction form
    442.74/664.38 = 280.50/x
  3. Step 3: Cross multiply
    442.74x = 664.38 × 280.50
  4. Step 4: Simplify right side
    442.74x = 186,358.59
  5. Step 5: Solve for x
    x = 186,358.59/442.74
  6. Step 6: Final answer
    x = 420.92

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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.