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Finding the Fourth Proportional to 413.94, 571.32 and 248.16

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Solution

The fourth proportional to 413.94, 571.32 and 248.16 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.94 : 571.32 = 248.16 : x
  2. Step 2: Convert to fraction form
    413.94/571.32 = 248.16/x
  3. Step 3: Cross multiply
    413.94x = 571.32 × 248.16
  4. Step 4: Simplify right side
    413.94x = 141,778.77
  5. Step 5: Solve for x
    x = 141,778.77/413.94
  6. Step 6: Final answer
    x = 342.51

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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.