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Finding the Fourth Proportional to 413.72, 571.06 and 258.60

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Solution

The fourth proportional to 413.72, 571.06 and 258.60 is: 356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.72 : 571.06 = 258.60 : x
  2. Step 2: Convert to fraction form
    413.72/571.06 = 258.60/x
  3. Step 3: Cross multiply
    413.72x = 571.06 × 258.60
  4. Step 4: Simplify right side
    413.72x = 147,676.12
  5. Step 5: Solve for x
    x = 147,676.12/413.72
  6. Step 6: Final answer
    x = 356.95

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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.