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Finding the Fourth Proportional to 579.43, 798.55 and 413.65

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Solution

The fourth proportional to 579.43, 798.55 and 413.65 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.43 : 798.55 = 413.65 : x
  2. Step 2: Convert to fraction form
    579.43/798.55 = 413.65/x
  3. Step 3: Cross multiply
    579.43x = 798.55 × 413.65
  4. Step 4: Simplify right side
    579.43x = 330,320.21
  5. Step 5: Solve for x
    x = 330,320.21/579.43
  6. Step 6: Final answer
    x = 570.08

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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.