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Finding the Fourth Proportional to 504.46, 755.67 and 367.79

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Solution

The fourth proportional to 504.46, 755.67 and 367.79 is: 550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.46 : 755.67 = 367.79 : x
  2. Step 2: Convert to fraction form
    504.46/755.67 = 367.79/x
  3. Step 3: Cross multiply
    504.46x = 755.67 × 367.79
  4. Step 4: Simplify right side
    504.46x = 277,927.87
  5. Step 5: Solve for x
    x = 277,927.87/504.46
  6. Step 6: Final answer
    x = 550.95

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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.