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Finding the Fourth Proportional to 413.11, 570.15 and 247.39

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Solution

The fourth proportional to 413.11, 570.15 and 247.39 is: 341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 570.15 = 247.39 : x
  2. Step 2: Convert to fraction form
    413.11/570.15 = 247.39/x
  3. Step 3: Cross multiply
    413.11x = 570.15 × 247.39
  4. Step 4: Simplify right side
    413.11x = 141,049.41
  5. Step 5: Solve for x
    x = 141,049.41/413.11
  6. Step 6: Final answer
    x = 341.43

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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.