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Finding the Fourth Proportional to 449.61, 620.44 and 253.12

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Solution

The fourth proportional to 449.61, 620.44 and 253.12 is: 349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.61 : 620.44 = 253.12 : x
  2. Step 2: Convert to fraction form
    449.61/620.44 = 253.12/x
  3. Step 3: Cross multiply
    449.61x = 620.44 × 253.12
  4. Step 4: Simplify right side
    449.61x = 157,045.92
  5. Step 5: Solve for x
    x = 157,045.92/449.61
  6. Step 6: Final answer
    x = 349.29

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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.