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Finding the Fourth Proportional to 449.54, 620.01 and 294.26

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Solution

The fourth proportional to 449.54, 620.01 and 294.26 is: 405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 620.01 = 294.26 : x
  2. Step 2: Convert to fraction form
    449.54/620.01 = 294.26/x
  3. Step 3: Cross multiply
    449.54x = 620.01 × 294.26
  4. Step 4: Simplify right side
    449.54x = 182,444.14
  5. Step 5: Solve for x
    x = 182,444.14/449.54
  6. Step 6: Final answer
    x = 405.85

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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.