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Finding the Fourth Proportional to 567.30, 850.65 and 413.61

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Solution

The fourth proportional to 567.30, 850.65 and 413.61 is: 620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.30 : 850.65 = 413.61 : x
  2. Step 2: Convert to fraction form
    567.30/850.65 = 413.61/x
  3. Step 3: Cross multiply
    567.30x = 850.65 × 413.61
  4. Step 4: Simplify right side
    567.30x = 351,834.93
  5. Step 5: Solve for x
    x = 351,834.93/567.30
  6. Step 6: Final answer
    x = 620.19

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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.