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Finding the Fourth Proportional to 340.09, 509.91 and 218.44

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Solution

The fourth proportional to 340.09, 509.91 and 218.44 is: 327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.09 : 509.91 = 218.44 : x
  2. Step 2: Convert to fraction form
    340.09/509.91 = 218.44/x
  3. Step 3: Cross multiply
    340.09x = 509.91 × 218.44
  4. Step 4: Simplify right side
    340.09x = 111,384.74
  5. Step 5: Solve for x
    x = 111,384.74/340.09
  6. Step 6: Final answer
    x = 327.52

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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.