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Finding the Fourth Proportional to 551.10, 825.30 and 413.40

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Solution

The fourth proportional to 551.10, 825.30 and 413.40 is: 619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.10 : 825.30 = 413.40 : x
  2. Step 2: Convert to fraction form
    551.10/825.30 = 413.40/x
  3. Step 3: Cross multiply
    551.10x = 825.30 × 413.40
  4. Step 4: Simplify right side
    551.10x = 341,179.02
  5. Step 5: Solve for x
    x = 341,179.02/551.10
  6. Step 6: Final answer
    x = 619.09

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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.