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Finding the Fourth Proportional to 299.80, 414.62 and 281.58

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Solution

The fourth proportional to 299.80, 414.62 and 281.58 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 414.62 = 281.58 : x
  2. Step 2: Convert to fraction form
    299.80/414.62 = 281.58/x
  3. Step 3: Cross multiply
    299.80x = 414.62 × 281.58
  4. Step 4: Simplify right side
    299.80x = 116,746.79
  5. Step 5: Solve for x
    x = 116,746.79/299.80
  6. Step 6: Final answer
    x = 389.41

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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.