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Finding the Fourth Proportional to 579.14, 798.81 and 413.54

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Solution

The fourth proportional to 579.14, 798.81 and 413.54 is: 570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.14 : 798.81 = 413.54 : x
  2. Step 2: Convert to fraction form
    579.14/798.81 = 413.54/x
  3. Step 3: Cross multiply
    579.14x = 798.81 × 413.54
  4. Step 4: Simplify right side
    579.14x = 330,339.89
  5. Step 5: Solve for x
    x = 330,339.89/579.14
  6. Step 6: Final answer
    x = 570.40

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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.