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Finding the Fourth Proportional to 449.75, 620.71 and 253.28

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Solution

The fourth proportional to 449.75, 620.71 and 253.28 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.75 : 620.71 = 253.28 : x
  2. Step 2: Convert to fraction form
    449.75/620.71 = 253.28/x
  3. Step 3: Cross multiply
    449.75x = 620.71 × 253.28
  4. Step 4: Simplify right side
    449.75x = 157,212.28
  5. Step 5: Solve for x
    x = 157,212.28/449.75
  6. Step 6: Final answer
    x = 349.55

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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.