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Finding the Fourth Proportional to 442.49, 663.06 and 396.59

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Solution

The fourth proportional to 442.49, 663.06 and 396.59 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.49 : 663.06 = 396.59 : x
  2. Step 2: Convert to fraction form
    442.49/663.06 = 396.59/x
  3. Step 3: Cross multiply
    442.49x = 663.06 × 396.59
  4. Step 4: Simplify right side
    442.49x = 262,962.97
  5. Step 5: Solve for x
    x = 262,962.97/442.49
  6. Step 6: Final answer
    x = 594.28

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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.