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Finding the Fourth Proportional to 450.30, 620.37 and 339.60

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Solution

The fourth proportional to 450.30, 620.37 and 339.60 is: 467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.30 : 620.37 = 339.60 : x
  2. Step 2: Convert to fraction form
    450.30/620.37 = 339.60/x
  3. Step 3: Cross multiply
    450.30x = 620.37 × 339.60
  4. Step 4: Simplify right side
    450.30x = 210,677.65
  5. Step 5: Solve for x
    x = 210,677.65/450.30
  6. Step 6: Final answer
    x = 467.86

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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.