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Finding the Fourth Proportional to 413.25, 570 and 265.83

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Solution

The fourth proportional to 413.25, 570 and 265.83 is: 366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 570 = 265.83 : x
  2. Step 2: Convert to fraction form
    413.25/570 = 265.83/x
  3. Step 3: Cross multiply
    413.25x = 570 × 265.83
  4. Step 4: Simplify right side
    413.25x = 151,523.10
  5. Step 5: Solve for x
    x = 151,523.10/413.25
  6. Step 6: Final answer
    x = 366.66

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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.