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Finding the Fourth Proportional to 413.60, 570.88 and 236.66

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Solution

The fourth proportional to 413.60, 570.88 and 236.66 is: 326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.60 : 570.88 = 236.66 : x
  2. Step 2: Convert to fraction form
    413.60/570.88 = 236.66/x
  3. Step 3: Cross multiply
    413.60x = 570.88 × 236.66
  4. Step 4: Simplify right side
    413.60x = 135,101.90
  5. Step 5: Solve for x
    x = 135,101.90/413.60
  6. Step 6: Final answer
    x = 326.65

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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.