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Finding the Fourth Proportional to 449.78, 620.43 and 263.23

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Solution

The fourth proportional to 449.78, 620.43 and 263.23 is: 363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.78 : 620.43 = 263.23 : x
  2. Step 2: Convert to fraction form
    449.78/620.43 = 263.23/x
  3. Step 3: Cross multiply
    449.78x = 620.43 × 263.23
  4. Step 4: Simplify right side
    449.78x = 163,312.69
  5. Step 5: Solve for x
    x = 163,312.69/449.78
  6. Step 6: Final answer
    x = 363.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.