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Finding the Fourth Proportional to 367.43, 509.59 and 336.68

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Solution

The fourth proportional to 367.43, 509.59 and 336.68 is: 466.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.43 : 509.59 = 336.68 : x
  2. Step 2: Convert to fraction form
    367.43/509.59 = 336.68/x
  3. Step 3: Cross multiply
    367.43x = 509.59 × 336.68
  4. Step 4: Simplify right side
    367.43x = 171,567.08
  5. Step 5: Solve for x
    x = 171,567.08/367.43
  6. Step 6: Final answer
    x = 466.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.