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Finding the Fourth Proportional to 299.50, 449.75 and 277.05

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Solution

The fourth proportional to 299.50, 449.75 and 277.05 is: 416.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 449.75 = 277.05 : x
  2. Step 2: Convert to fraction form
    299.50/449.75 = 277.05/x
  3. Step 3: Cross multiply
    299.50x = 449.75 × 277.05
  4. Step 4: Simplify right side
    299.50x = 124,603.24
  5. Step 5: Solve for x
    x = 124,603.24/299.50
  6. Step 6: Final answer
    x = 416.04

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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.