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Finding the Fourth Proportional to 306.08, 421.84 and 228.48

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Solution

The fourth proportional to 306.08, 421.84 and 228.48 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 421.84 = 228.48 : x
  2. Step 2: Convert to fraction form
    306.08/421.84 = 228.48/x
  3. Step 3: Cross multiply
    306.08x = 421.84 × 228.48
  4. Step 4: Simplify right side
    306.08x = 96,382.00
  5. Step 5: Solve for x
    x = 96,382.00/306.08
  6. Step 6: Final answer
    x = 314.89

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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.