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Finding the Fourth Proportional to 454.06, 627.12 and 306.44

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Solution

The fourth proportional to 454.06, 627.12 and 306.44 is: 423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 627.12 = 306.44 : x
  2. Step 2: Convert to fraction form
    454.06/627.12 = 306.44/x
  3. Step 3: Cross multiply
    454.06x = 627.12 × 306.44
  4. Step 4: Simplify right side
    454.06x = 192,174.65
  5. Step 5: Solve for x
    x = 192,174.65/454.06
  6. Step 6: Final answer
    x = 423.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.