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Finding the Fourth Proportional to 442.41, 664.30 and 397.76

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Solution

The fourth proportional to 442.41, 664.30 and 397.76 is: 597.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.41 : 664.30 = 397.76 : x
  2. Step 2: Convert to fraction form
    442.41/664.30 = 397.76/x
  3. Step 3: Cross multiply
    442.41x = 664.30 × 397.76
  4. Step 4: Simplify right side
    442.41x = 264,232.88
  5. Step 5: Solve for x
    x = 264,232.88/442.41
  6. Step 6: Final answer
    x = 597.26

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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.