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Finding the Fourth Proportional to 450.02, 674.14 and 219.13

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Solution

The fourth proportional to 450.02, 674.14 and 219.13 is: 328.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.02 : 674.14 = 219.13 : x
  2. Step 2: Convert to fraction form
    450.02/674.14 = 219.13/x
  3. Step 3: Cross multiply
    450.02x = 674.14 × 219.13
  4. Step 4: Simplify right side
    450.02x = 147,724.30
  5. Step 5: Solve for x
    x = 147,724.30/450.02
  6. Step 6: Final answer
    x = 328.26

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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.