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Finding the Fourth Proportional to 544.16, 816.86 and 413.84

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Solution

The fourth proportional to 544.16, 816.86 and 413.84 is: 621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 816.86 = 413.84 : x
  2. Step 2: Convert to fraction form
    544.16/816.86 = 413.84/x
  3. Step 3: Cross multiply
    544.16x = 816.86 × 413.84
  4. Step 4: Simplify right side
    544.16x = 338,049.34
  5. Step 5: Solve for x
    x = 338,049.34/544.16
  6. Step 6: Final answer
    x = 621.23

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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.