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Finding the Fourth Proportional to 449.19, 620.22 and 442.01

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Solution

The fourth proportional to 449.19, 620.22 and 442.01 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.19 : 620.22 = 442.01 : x
  2. Step 2: Convert to fraction form
    449.19/620.22 = 442.01/x
  3. Step 3: Cross multiply
    449.19x = 620.22 × 442.01
  4. Step 4: Simplify right side
    449.19x = 274,145.22
  5. Step 5: Solve for x
    x = 274,145.22/449.19
  6. Step 6: Final answer
    x = 610.31

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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.