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Finding the Fourth Proportional to 449.26, 620.36 and 283.77

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Solution

The fourth proportional to 449.26, 620.36 and 283.77 is: 391.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.26 : 620.36 = 283.77 : x
  2. Step 2: Convert to fraction form
    449.26/620.36 = 283.77/x
  3. Step 3: Cross multiply
    449.26x = 620.36 × 283.77
  4. Step 4: Simplify right side
    449.26x = 176,039.20
  5. Step 5: Solve for x
    x = 176,039.20/449.26
  6. Step 6: Final answer
    x = 391.84

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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.