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Finding the Fourth Proportional to 413.06, 569.66 and 257.54

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Solution

The fourth proportional to 413.06, 569.66 and 257.54 is: 355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 569.66 = 257.54 : x
  2. Step 2: Convert to fraction form
    413.06/569.66 = 257.54/x
  3. Step 3: Cross multiply
    413.06x = 569.66 × 257.54
  4. Step 4: Simplify right side
    413.06x = 146,710.24
  5. Step 5: Solve for x
    x = 146,710.24/413.06
  6. Step 6: Final answer
    x = 355.18

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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.