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Finding the Fourth Proportional to 313.78, 433.13 and 255.46

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Solution

The fourth proportional to 313.78, 433.13 and 255.46 is: 352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 433.13 = 255.46 : x
  2. Step 2: Convert to fraction form
    313.78/433.13 = 255.46/x
  3. Step 3: Cross multiply
    313.78x = 433.13 × 255.46
  4. Step 4: Simplify right side
    313.78x = 110,647.39
  5. Step 5: Solve for x
    x = 110,647.39/313.78
  6. Step 6: Final answer
    x = 352.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.