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Finding the Fourth Proportional to 442.28, 662.92 and 339.24

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Solution

The fourth proportional to 442.28, 662.92 and 339.24 is: 508.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 662.92 = 339.24 : x
  2. Step 2: Convert to fraction form
    442.28/662.92 = 339.24/x
  3. Step 3: Cross multiply
    442.28x = 662.92 × 339.24
  4. Step 4: Simplify right side
    442.28x = 224,888.98
  5. Step 5: Solve for x
    x = 224,888.98/442.28
  6. Step 6: Final answer
    x = 508.48

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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.