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Finding the Fourth Proportional to 413.67, 570.87 and 239.01

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Solution

The fourth proportional to 413.67, 570.87 and 239.01 is: 329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 570.87 = 239.01 : x
  2. Step 2: Convert to fraction form
    413.67/570.87 = 239.01/x
  3. Step 3: Cross multiply
    413.67x = 570.87 × 239.01
  4. Step 4: Simplify right side
    413.67x = 136,443.64
  5. Step 5: Solve for x
    x = 136,443.64/413.67
  6. Step 6: Final answer
    x = 329.84

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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.