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Finding the Fourth Proportional to 413.06, 570.11 and 247.28

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Solution

The fourth proportional to 413.06, 570.11 and 247.28 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 570.11 = 247.28 : x
  2. Step 2: Convert to fraction form
    413.06/570.11 = 247.28/x
  3. Step 3: Cross multiply
    413.06x = 570.11 × 247.28
  4. Step 4: Simplify right side
    413.06x = 140,972.71
  5. Step 5: Solve for x
    x = 140,972.71/413.06
  6. Step 6: Final answer
    x = 341.29

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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.