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Finding the Fourth Proportional to 451.30, 676.06 and 413.24

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Solution

The fourth proportional to 451.30, 676.06 and 413.24 is: 619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.30 : 676.06 = 413.24 : x
  2. Step 2: Convert to fraction form
    451.30/676.06 = 413.24/x
  3. Step 3: Cross multiply
    451.30x = 676.06 × 413.24
  4. Step 4: Simplify right side
    451.30x = 279,375.03
  5. Step 5: Solve for x
    x = 279,375.03/451.30
  6. Step 6: Final answer
    x = 619.05

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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.