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Finding the Fourth Proportional to 274.70, 377.50 and 262.01

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Solution

The fourth proportional to 274.70, 377.50 and 262.01 is: 360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 377.50 = 262.01 : x
  2. Step 2: Convert to fraction form
    274.70/377.50 = 262.01/x
  3. Step 3: Cross multiply
    274.70x = 377.50 × 262.01
  4. Step 4: Simplify right side
    274.70x = 98,908.78
  5. Step 5: Solve for x
    x = 98,908.78/274.70
  6. Step 6: Final answer
    x = 360.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.