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Finding the Fourth Proportional to 338.92, 467.04 and 305.80

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Solution

The fourth proportional to 338.92, 467.04 and 305.80 is: 421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.92 : 467.04 = 305.80 : x
  2. Step 2: Convert to fraction form
    338.92/467.04 = 305.80/x
  3. Step 3: Cross multiply
    338.92x = 467.04 × 305.80
  4. Step 4: Simplify right side
    338.92x = 142,820.83
  5. Step 5: Solve for x
    x = 142,820.83/338.92
  6. Step 6: Final answer
    x = 421.40

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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.