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Finding the Fourth Proportional to 299.57, 448.61 and 250.74

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Solution

The fourth proportional to 299.57, 448.61 and 250.74 is: 375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 448.61 = 250.74 : x
  2. Step 2: Convert to fraction form
    299.57/448.61 = 250.74/x
  3. Step 3: Cross multiply
    299.57x = 448.61 × 250.74
  4. Step 4: Simplify right side
    299.57x = 112,483.22
  5. Step 5: Solve for x
    x = 112,483.22/299.57
  6. Step 6: Final answer
    x = 375.49

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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.