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Finding the Fourth Proportional to 413.82, 571.04 and 248

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Solution

The fourth proportional to 413.82, 571.04 and 248 is: 342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.82 : 571.04 = 248 : x
  2. Step 2: Convert to fraction form
    413.82/571.04 = 248/x
  3. Step 3: Cross multiply
    413.82x = 571.04 × 248
  4. Step 4: Simplify right side
    413.82x = 141,617.92
  5. Step 5: Solve for x
    x = 141,617.92/413.82
  6. Step 6: Final answer
    x = 342.22

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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.