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Finding the Fourth Proportional to 449.50, 620.37 and 294.34

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Solution

The fourth proportional to 449.50, 620.37 and 294.34 is: 406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.50 : 620.37 = 294.34 : x
  2. Step 2: Convert to fraction form
    449.50/620.37 = 294.34/x
  3. Step 3: Cross multiply
    449.50x = 620.37 × 294.34
  4. Step 4: Simplify right side
    449.50x = 182,599.71
  5. Step 5: Solve for x
    x = 182,599.71/449.50
  6. Step 6: Final answer
    x = 406.23

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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.