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Finding the Fourth Proportional to 413.14, 570.11 and 314.73

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Solution

The fourth proportional to 413.14, 570.11 and 314.73 is: 434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 570.11 = 314.73 : x
  2. Step 2: Convert to fraction form
    413.14/570.11 = 314.73/x
  3. Step 3: Cross multiply
    413.14x = 570.11 × 314.73
  4. Step 4: Simplify right side
    413.14x = 179,430.20
  5. Step 5: Solve for x
    x = 179,430.20/413.14
  6. Step 6: Final answer
    x = 434.31

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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.