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Finding the Fourth Proportional to 264.74, 393.99 and 255.02

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Solution

The fourth proportional to 264.74, 393.99 and 255.02 is: 379.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.74 : 393.99 = 255.02 : x
  2. Step 2: Convert to fraction form
    264.74/393.99 = 255.02/x
  3. Step 3: Cross multiply
    264.74x = 393.99 × 255.02
  4. Step 4: Simplify right side
    264.74x = 100,474.05
  5. Step 5: Solve for x
    x = 100,474.05/264.74
  6. Step 6: Final answer
    x = 379.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.