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Finding the Fourth Proportional to 398.56, 550.06 and 305.14

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Solution

The fourth proportional to 398.56, 550.06 and 305.14 is: 421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.56 : 550.06 = 305.14 : x
  2. Step 2: Convert to fraction form
    398.56/550.06 = 305.14/x
  3. Step 3: Cross multiply
    398.56x = 550.06 × 305.14
  4. Step 4: Simplify right side
    398.56x = 167,845.31
  5. Step 5: Solve for x
    x = 167,845.31/398.56
  6. Step 6: Final answer
    x = 421.13

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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.