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Finding the Fourth Proportional to 449.50, 620.24 and 253.01

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Solution

The fourth proportional to 449.50, 620.24 and 253.01 is: 349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 620.24 = 253.01 : x
  2. Step 2: Convert to fraction form
    449.50/620.24 = 253.01/x
  3. Step 3: Cross multiply
    449.50x = 620.24 × 253.01
  4. Step 4: Simplify right side
    449.50x = 156,926.00
  5. Step 5: Solve for x
    x = 156,926.00/449.50
  6. Step 6: Final answer
    x = 349.11

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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.