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Finding the Fourth Proportional to 413.36, 618.48 and 248.20

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Solution

The fourth proportional to 413.36, 618.48 and 248.20 is: 371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.36 : 618.48 = 248.20 : x
  2. Step 2: Convert to fraction form
    413.36/618.48 = 248.20/x
  3. Step 3: Cross multiply
    413.36x = 618.48 × 248.20
  4. Step 4: Simplify right side
    413.36x = 153,506.74
  5. Step 5: Solve for x
    x = 153,506.74/413.36
  6. Step 6: Final answer
    x = 371.36

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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.