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Finding the Fourth Proportional to 339.75, 509.63 and 330.63

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Solution

The fourth proportional to 339.75, 509.63 and 330.63 is: 495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.75 : 509.63 = 330.63 : x
  2. Step 2: Convert to fraction form
    339.75/509.63 = 330.63/x
  3. Step 3: Cross multiply
    339.75x = 509.63 × 330.63
  4. Step 4: Simplify right side
    339.75x = 168,497.31
  5. Step 5: Solve for x
    x = 168,497.31/339.75
  6. Step 6: Final answer
    x = 495.95

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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.