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Finding the Fourth Proportional to 413.71, 570.84 and 239.02

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Solution

The fourth proportional to 413.71, 570.84 and 239.02 is: 329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 570.84 = 239.02 : x
  2. Step 2: Convert to fraction form
    413.71/570.84 = 239.02/x
  3. Step 3: Cross multiply
    413.71x = 570.84 × 239.02
  4. Step 4: Simplify right side
    413.71x = 136,442.18
  5. Step 5: Solve for x
    x = 136,442.18/413.71
  6. Step 6: Final answer
    x = 329.80

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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.