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Finding the Fourth Proportional to 413.09, 618.35 and 258.48

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Solution

The fourth proportional to 413.09, 618.35 and 258.48 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.09 : 618.35 = 258.48 : x
  2. Step 2: Convert to fraction form
    413.09/618.35 = 258.48/x
  3. Step 3: Cross multiply
    413.09x = 618.35 × 258.48
  4. Step 4: Simplify right side
    413.09x = 159,829.82
  5. Step 5: Solve for x
    x = 159,829.82/413.09
  6. Step 6: Final answer
    x = 386.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.