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Finding the Fourth Proportional to 491.97, 678.17 and 413.54

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Solution

The fourth proportional to 491.97, 678.17 and 413.54 is: 570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 678.17 = 413.54 : x
  2. Step 2: Convert to fraction form
    491.97/678.17 = 413.54/x
  3. Step 3: Cross multiply
    491.97x = 678.17 × 413.54
  4. Step 4: Simplify right side
    491.97x = 280,450.42
  5. Step 5: Solve for x
    x = 280,450.42/491.97
  6. Step 6: Final answer
    x = 570.06

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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.