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Finding the Fourth Proportional to 413.59, 570.86 and 236.65

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Solution

The fourth proportional to 413.59, 570.86 and 236.65 is: 326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.59 : 570.86 = 236.65 : x
  2. Step 2: Convert to fraction form
    413.59/570.86 = 236.65/x
  3. Step 3: Cross multiply
    413.59x = 570.86 × 236.65
  4. Step 4: Simplify right side
    413.59x = 135,094.02
  5. Step 5: Solve for x
    x = 135,094.02/413.59
  6. Step 6: Final answer
    x = 326.64

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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.