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Finding the Fourth Proportional to 305.44, 419.84 and 297.28

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Solution

The fourth proportional to 305.44, 419.84 and 297.28 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.44 : 419.84 = 297.28 : x
  2. Step 2: Convert to fraction form
    305.44/419.84 = 297.28/x
  3. Step 3: Cross multiply
    305.44x = 419.84 × 297.28
  4. Step 4: Simplify right side
    305.44x = 124,810.04
  5. Step 5: Solve for x
    x = 124,810.04/305.44
  6. Step 6: Final answer
    x = 408.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.