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Finding the Fourth Proportional to 413.69, 570.84 and 247.97

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Solution

The fourth proportional to 413.69, 570.84 and 247.97 is: 342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.69 : 570.84 = 247.97 : x
  2. Step 2: Convert to fraction form
    413.69/570.84 = 247.97/x
  3. Step 3: Cross multiply
    413.69x = 570.84 × 247.97
  4. Step 4: Simplify right side
    413.69x = 141,548.34
  5. Step 5: Solve for x
    x = 141,548.34/413.69
  6. Step 6: Final answer
    x = 342.16

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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.