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Finding the Fourth Proportional to 435.88, 597.82 and 413.61

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Solution

The fourth proportional to 435.88, 597.82 and 413.61 is: 567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.88 : 597.82 = 413.61 : x
  2. Step 2: Convert to fraction form
    435.88/597.82 = 413.61/x
  3. Step 3: Cross multiply
    435.88x = 597.82 × 413.61
  4. Step 4: Simplify right side
    435.88x = 247,265.03
  5. Step 5: Solve for x
    x = 247,265.03/435.88
  6. Step 6: Final answer
    x = 567.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.