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Finding the Fourth Proportional to 338.94, 509.36 and 330.71

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Solution

The fourth proportional to 338.94, 509.36 and 330.71 is: 496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 509.36 = 330.71 : x
  2. Step 2: Convert to fraction form
    338.94/509.36 = 330.71/x
  3. Step 3: Cross multiply
    338.94x = 509.36 × 330.71
  4. Step 4: Simplify right side
    338.94x = 168,446.25
  5. Step 5: Solve for x
    x = 168,446.25/338.94
  6. Step 6: Final answer
    x = 496.98

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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.