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Finding the Fourth Proportional to 450.06, 620.98 and 345.27

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Solution

The fourth proportional to 450.06, 620.98 and 345.27 is: 476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.06 : 620.98 = 345.27 : x
  2. Step 2: Convert to fraction form
    450.06/620.98 = 345.27/x
  3. Step 3: Cross multiply
    450.06x = 620.98 × 345.27
  4. Step 4: Simplify right side
    450.06x = 214,405.76
  5. Step 5: Solve for x
    x = 214,405.76/450.06
  6. Step 6: Final answer
    x = 476.39

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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.