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Finding the Fourth Proportional to 413.21, 570.23 and 282.26

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Solution

The fourth proportional to 413.21, 570.23 and 282.26 is: 389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 570.23 = 282.26 : x
  2. Step 2: Convert to fraction form
    413.21/570.23 = 282.26/x
  3. Step 3: Cross multiply
    413.21x = 570.23 × 282.26
  4. Step 4: Simplify right side
    413.21x = 160,948.86
  5. Step 5: Solve for x
    x = 160,948.86/413.21
  6. Step 6: Final answer
    x = 389.51

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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.