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Finding the Fourth Proportional to 413.70, 570.88 and 239.02

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Solution

The fourth proportional to 413.70, 570.88 and 239.02 is: 329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 570.88 = 239.02 : x
  2. Step 2: Convert to fraction form
    413.70/570.88 = 239.02/x
  3. Step 3: Cross multiply
    413.70x = 570.88 × 239.02
  4. Step 4: Simplify right side
    413.70x = 136,451.74
  5. Step 5: Solve for x
    x = 136,451.74/413.70
  6. Step 6: Final answer
    x = 329.83

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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.