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Finding the Fourth Proportional to 299.54, 449.01 and 217.08

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Solution

The fourth proportional to 299.54, 449.01 and 217.08 is: 325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 449.01 = 217.08 : x
  2. Step 2: Convert to fraction form
    299.54/449.01 = 217.08/x
  3. Step 3: Cross multiply
    299.54x = 449.01 × 217.08
  4. Step 4: Simplify right side
    299.54x = 97,468.59
  5. Step 5: Solve for x
    x = 97,468.59/299.54
  6. Step 6: Final answer
    x = 325.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.