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Finding the Fourth Proportional to 303.30, 418.69 and 228.64

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Solution

The fourth proportional to 303.30, 418.69 and 228.64 is: 315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 418.69 = 228.64 : x
  2. Step 2: Convert to fraction form
    303.30/418.69 = 228.64/x
  3. Step 3: Cross multiply
    303.30x = 418.69 × 228.64
  4. Step 4: Simplify right side
    303.30x = 95,727.89
  5. Step 5: Solve for x
    x = 95,727.89/303.30
  6. Step 6: Final answer
    x = 315.63

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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.