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Finding the Fourth Proportional to 442.49, 663.21 and 259.63

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Solution

The fourth proportional to 442.49, 663.21 and 259.63 is: 389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.49 : 663.21 = 259.63 : x
  2. Step 2: Convert to fraction form
    442.49/663.21 = 259.63/x
  3. Step 3: Cross multiply
    442.49x = 663.21 × 259.63
  4. Step 4: Simplify right side
    442.49x = 172,187.55
  5. Step 5: Solve for x
    x = 172,187.55/442.49
  6. Step 6: Final answer
    x = 389.14

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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.