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Finding the Fourth Proportional to 413.66, 570.97 and 289.36

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Solution

The fourth proportional to 413.66, 570.97 and 289.36 is: 399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.66 : 570.97 = 289.36 : x
  2. Step 2: Convert to fraction form
    413.66/570.97 = 289.36/x
  3. Step 3: Cross multiply
    413.66x = 570.97 × 289.36
  4. Step 4: Simplify right side
    413.66x = 165,213.74
  5. Step 5: Solve for x
    x = 165,213.74/413.66
  6. Step 6: Final answer
    x = 399.39

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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.