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Finding the Fourth Proportional to 537.38, 805.75 and 413.67

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Solution

The fourth proportional to 537.38, 805.75 and 413.67 is: 620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.38 : 805.75 = 413.67 : x
  2. Step 2: Convert to fraction form
    537.38/805.75 = 413.67/x
  3. Step 3: Cross multiply
    537.38x = 805.75 × 413.67
  4. Step 4: Simplify right side
    537.38x = 333,313.57
  5. Step 5: Solve for x
    x = 333,313.57/537.38
  6. Step 6: Final answer
    x = 620.25

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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.