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Finding the Fourth Proportional to 401.67, 602.73 and 219.06

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Solution

The fourth proportional to 401.67, 602.73 and 219.06 is: 328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.67 : 602.73 = 219.06 : x
  2. Step 2: Convert to fraction form
    401.67/602.73 = 219.06/x
  3. Step 3: Cross multiply
    401.67x = 602.73 × 219.06
  4. Step 4: Simplify right side
    401.67x = 132,034.03
  5. Step 5: Solve for x
    x = 132,034.03/401.67
  6. Step 6: Final answer
    x = 328.71

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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.