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Finding the Fourth Proportional to 299.10, 450.54 and 280.88

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Solution

The fourth proportional to 299.10, 450.54 and 280.88 is: 423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 450.54 = 280.88 : x
  2. Step 2: Convert to fraction form
    299.10/450.54 = 280.88/x
  3. Step 3: Cross multiply
    299.10x = 450.54 × 280.88
  4. Step 4: Simplify right side
    299.10x = 126,547.68
  5. Step 5: Solve for x
    x = 126,547.68/299.10
  6. Step 6: Final answer
    x = 423.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.