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Finding the Fourth Proportional to 506.49, 698.67 and 413.34

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Solution

The fourth proportional to 506.49, 698.67 and 413.34 is: 570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 698.67 = 413.34 : x
  2. Step 2: Convert to fraction form
    506.49/698.67 = 413.34/x
  3. Step 3: Cross multiply
    506.49x = 698.67 × 413.34
  4. Step 4: Simplify right side
    506.49x = 288,788.26
  5. Step 5: Solve for x
    x = 288,788.26/506.49
  6. Step 6: Final answer
    x = 570.18

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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.