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Finding the Fourth Proportional to 442.76, 664.16 and 237.52

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Solution

The fourth proportional to 442.76, 664.16 and 237.52 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 664.16 = 237.52 : x
  2. Step 2: Convert to fraction form
    442.76/664.16 = 237.52/x
  3. Step 3: Cross multiply
    442.76x = 664.16 × 237.52
  4. Step 4: Simplify right side
    442.76x = 157,751.28
  5. Step 5: Solve for x
    x = 157,751.28/442.76
  6. Step 6: Final answer
    x = 356.29

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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.