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Finding the Fourth Proportional to 579.90, 798.84 and 413.04

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Solution

The fourth proportional to 579.90, 798.84 and 413.04 is: 568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 798.84 = 413.04 : x
  2. Step 2: Convert to fraction form
    579.90/798.84 = 413.04/x
  3. Step 3: Cross multiply
    579.90x = 798.84 × 413.04
  4. Step 4: Simplify right side
    579.90x = 329,952.87
  5. Step 5: Solve for x
    x = 329,952.87/579.90
  6. Step 6: Final answer
    x = 568.98

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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.