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Finding the Fourth Proportional to 271.06, 405.69 and 219.58

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Solution

The fourth proportional to 271.06, 405.69 and 219.58 is: 328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.06 : 405.69 = 219.58 : x
  2. Step 2: Convert to fraction form
    271.06/405.69 = 219.58/x
  3. Step 3: Cross multiply
    271.06x = 405.69 × 219.58
  4. Step 4: Simplify right side
    271.06x = 89,081.41
  5. Step 5: Solve for x
    x = 89,081.41/271.06
  6. Step 6: Final answer
    x = 328.64

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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.