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Finding the Fourth Proportional to 450.75, 675.04 and 219.07

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Solution

The fourth proportional to 450.75, 675.04 and 219.07 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 675.04 = 219.07 : x
  2. Step 2: Convert to fraction form
    450.75/675.04 = 219.07/x
  3. Step 3: Cross multiply
    450.75x = 675.04 × 219.07
  4. Step 4: Simplify right side
    450.75x = 147,878.78
  5. Step 5: Solve for x
    x = 147,878.78/450.75
  6. Step 6: Final answer
    x = 328.07

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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.