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Finding the Fourth Proportional to 620.22, 855.92 and 340.47

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Solution

The fourth proportional to 620.22, 855.92 and 340.47 is: 469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.22 : 855.92 = 340.47 : x
  2. Step 2: Convert to fraction form
    620.22/855.92 = 340.47/x
  3. Step 3: Cross multiply
    620.22x = 855.92 × 340.47
  4. Step 4: Simplify right side
    620.22x = 291,414.02
  5. Step 5: Solve for x
    x = 291,414.02/620.22
  6. Step 6: Final answer
    x = 469.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.