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Finding the Fourth Proportional to 413.86, 571.02 and 248.14

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Solution

The fourth proportional to 413.86, 571.02 and 248.14 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 571.02 = 248.14 : x
  2. Step 2: Convert to fraction form
    413.86/571.02 = 248.14/x
  3. Step 3: Cross multiply
    413.86x = 571.02 × 248.14
  4. Step 4: Simplify right side
    413.86x = 141,692.90
  5. Step 5: Solve for x
    x = 141,692.90/413.86
  6. Step 6: Final answer
    x = 342.37

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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.