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Finding the Fourth Proportional to 413.25, 570.29 and 378.39

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Solution

The fourth proportional to 413.25, 570.29 and 378.39 is: 522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.25 : 570.29 = 378.39 : x
  2. Step 2: Convert to fraction form
    413.25/570.29 = 378.39/x
  3. Step 3: Cross multiply
    413.25x = 570.29 × 378.39
  4. Step 4: Simplify right side
    413.25x = 215,790.14
  5. Step 5: Solve for x
    x = 215,790.14/413.25
  6. Step 6: Final answer
    x = 522.18

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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.