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Finding the Fourth Proportional to 367.74, 504.63 and 335.07

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Solution

The fourth proportional to 367.74, 504.63 and 335.07 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.74 : 504.63 = 335.07 : x
  2. Step 2: Convert to fraction form
    367.74/504.63 = 335.07/x
  3. Step 3: Cross multiply
    367.74x = 504.63 × 335.07
  4. Step 4: Simplify right side
    367.74x = 169,086.37
  5. Step 5: Solve for x
    x = 169,086.37/367.74
  6. Step 6: Final answer
    x = 459.80

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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.