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Finding the Fourth Proportional to 449.68, 620.48 and 263.18

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Solution

The fourth proportional to 449.68, 620.48 and 263.18 is: 363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.68 : 620.48 = 263.18 : x
  2. Step 2: Convert to fraction form
    449.68/620.48 = 263.18/x
  3. Step 3: Cross multiply
    449.68x = 620.48 × 263.18
  4. Step 4: Simplify right side
    449.68x = 163,297.93
  5. Step 5: Solve for x
    x = 163,297.93/449.68
  6. Step 6: Final answer
    x = 363.14

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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.