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Finding the Fourth Proportional to 401.82, 602.52 and 219.16

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Solution

The fourth proportional to 401.82, 602.52 and 219.16 is: 328.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.82 : 602.52 = 219.16 : x
  2. Step 2: Convert to fraction form
    401.82/602.52 = 219.16/x
  3. Step 3: Cross multiply
    401.82x = 602.52 × 219.16
  4. Step 4: Simplify right side
    401.82x = 132,048.28
  5. Step 5: Solve for x
    x = 132,048.28/401.82
  6. Step 6: Final answer
    x = 328.63

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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.