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Finding the Fourth Proportional to 413.14, 569.89 and 247.29

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Solution

The fourth proportional to 413.14, 569.89 and 247.29 is: 341.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.14 : 569.89 = 247.29 : x
  2. Step 2: Convert to fraction form
    413.14/569.89 = 247.29/x
  3. Step 3: Cross multiply
    413.14x = 569.89 × 247.29
  4. Step 4: Simplify right side
    413.14x = 140,928.10
  5. Step 5: Solve for x
    x = 140,928.10/413.14
  6. Step 6: Final answer
    x = 341.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.