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Finding the Fourth Proportional to 413.30, 570.71 and 289.22

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Solution

The fourth proportional to 413.30, 570.71 and 289.22 is: 399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 570.71 = 289.22 : x
  2. Step 2: Convert to fraction form
    413.30/570.71 = 289.22/x
  3. Step 3: Cross multiply
    413.30x = 570.71 × 289.22
  4. Step 4: Simplify right side
    413.30x = 165,058.62
  5. Step 5: Solve for x
    x = 165,058.62/413.30
  6. Step 6: Final answer
    x = 399.37

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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.