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Finding the Fourth Proportional to 482.06, 665.19 and 272.22

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Solution

The fourth proportional to 482.06, 665.19 and 272.22 is: 375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.06 : 665.19 = 272.22 : x
  2. Step 2: Convert to fraction form
    482.06/665.19 = 272.22/x
  3. Step 3: Cross multiply
    482.06x = 665.19 × 272.22
  4. Step 4: Simplify right side
    482.06x = 181,078.02
  5. Step 5: Solve for x
    x = 181,078.02/482.06
  6. Step 6: Final answer
    x = 375.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.