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Finding the Fourth Proportional to 303.85, 419.70 and 254.98

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Solution

The fourth proportional to 303.85, 419.70 and 254.98 is: 352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 419.70 = 254.98 : x
  2. Step 2: Convert to fraction form
    303.85/419.70 = 254.98/x
  3. Step 3: Cross multiply
    303.85x = 419.70 × 254.98
  4. Step 4: Simplify right side
    303.85x = 107,015.11
  5. Step 5: Solve for x
    x = 107,015.11/303.85
  6. Step 6: Final answer
    x = 352.20

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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.