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Finding the Fourth Proportional to 413.91, 571.14 and 256.77

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Solution

The fourth proportional to 413.91, 571.14 and 256.77 is: 354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.91 : 571.14 = 256.77 : x
  2. Step 2: Convert to fraction form
    413.91/571.14 = 256.77/x
  3. Step 3: Cross multiply
    413.91x = 571.14 × 256.77
  4. Step 4: Simplify right side
    413.91x = 146,651.62
  5. Step 5: Solve for x
    x = 146,651.62/413.91
  6. Step 6: Final answer
    x = 354.31

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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.