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Finding the Fourth Proportional to 355.82, 533.01 and 219.13

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Solution

The fourth proportional to 355.82, 533.01 and 219.13 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.82 : 533.01 = 219.13 : x
  2. Step 2: Convert to fraction form
    355.82/533.01 = 219.13/x
  3. Step 3: Cross multiply
    355.82x = 533.01 × 219.13
  4. Step 4: Simplify right side
    355.82x = 116,797.97
  5. Step 5: Solve for x
    x = 116,797.97/355.82
  6. Step 6: Final answer
    x = 328.25

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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.