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Finding the Fourth Proportional to 579.51, 799.35 and 413.67

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Solution

The fourth proportional to 579.51, 799.35 and 413.67 is: 570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.51 : 799.35 = 413.67 : x
  2. Step 2: Convert to fraction form
    579.51/799.35 = 413.67/x
  3. Step 3: Cross multiply
    579.51x = 799.35 × 413.67
  4. Step 4: Simplify right side
    579.51x = 330,667.11
  5. Step 5: Solve for x
    x = 330,667.11/579.51
  6. Step 6: Final answer
    x = 570.60

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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.