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Finding the Fourth Proportional to 413.12, 569.92 and 257.76

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Solution

The fourth proportional to 413.12, 569.92 and 257.76 is: 355.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.12 : 569.92 = 257.76 : x
  2. Step 2: Convert to fraction form
    413.12/569.92 = 257.76/x
  3. Step 3: Cross multiply
    413.12x = 569.92 × 257.76
  4. Step 4: Simplify right side
    413.12x = 146,902.58
  5. Step 5: Solve for x
    x = 146,902.58/413.12
  6. Step 6: Final answer
    x = 355.59

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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.