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Finding the Fourth Proportional to 450.23, 620.36 and 345.30

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Solution

The fourth proportional to 450.23, 620.36 and 345.30 is: 475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.23 : 620.36 = 345.30 : x
  2. Step 2: Convert to fraction form
    450.23/620.36 = 345.30/x
  3. Step 3: Cross multiply
    450.23x = 620.36 × 345.30
  4. Step 4: Simplify right side
    450.23x = 214,207.55
  5. Step 5: Solve for x
    x = 214,207.55/450.23
  6. Step 6: Final answer
    x = 475.78

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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.