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Finding the Fourth Proportional to 413.44, 570.75 and 297.20

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Solution

The fourth proportional to 413.44, 570.75 and 297.20 is: 410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.44 : 570.75 = 297.20 : x
  2. Step 2: Convert to fraction form
    413.44/570.75 = 297.20/x
  3. Step 3: Cross multiply
    413.44x = 570.75 × 297.20
  4. Step 4: Simplify right side
    413.44x = 169,627.21
  5. Step 5: Solve for x
    x = 169,627.21/413.44
  6. Step 6: Final answer
    x = 410.29

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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.