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Finding the Fourth Proportional to 308.19, 428.06 and 299.55

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Solution

The fourth proportional to 308.19, 428.06 and 299.55 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.19 : 428.06 = 299.55 : x
  2. Step 2: Convert to fraction form
    308.19/428.06 = 299.55/x
  3. Step 3: Cross multiply
    308.19x = 428.06 × 299.55
  4. Step 4: Simplify right side
    308.19x = 128,225.37
  5. Step 5: Solve for x
    x = 128,225.37/308.19
  6. Step 6: Final answer
    x = 416.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.