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Finding the Fourth Proportional to 449.64, 620.52 and 253.14

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Solution

The fourth proportional to 449.64, 620.52 and 253.14 is: 349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 620.52 = 253.14 : x
  2. Step 2: Convert to fraction form
    449.64/620.52 = 253.14/x
  3. Step 3: Cross multiply
    449.64x = 620.52 × 253.14
  4. Step 4: Simplify right side
    449.64x = 157,078.43
  5. Step 5: Solve for x
    x = 157,078.43/449.64
  6. Step 6: Final answer
    x = 349.34

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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.