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Finding the Fourth Proportional to 449.90, 620.82 and 253.41

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Solution

The fourth proportional to 449.90, 620.82 and 253.41 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.90 : 620.82 = 253.41 : x
  2. Step 2: Convert to fraction form
    449.90/620.82 = 253.41/x
  3. Step 3: Cross multiply
    449.90x = 620.82 × 253.41
  4. Step 4: Simplify right side
    449.90x = 157,319.81
  5. Step 5: Solve for x
    x = 157,319.81/449.90
  6. Step 6: Final answer
    x = 349.68

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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.