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Finding the Fourth Proportional to 506.88, 698.88 and 413.43

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Solution

The fourth proportional to 506.88, 698.88 and 413.43 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 698.88 = 413.43 : x
  2. Step 2: Convert to fraction form
    506.88/698.88 = 413.43/x
  3. Step 3: Cross multiply
    506.88x = 698.88 × 413.43
  4. Step 4: Simplify right side
    506.88x = 288,937.96
  5. Step 5: Solve for x
    x = 288,937.96/506.88
  6. Step 6: Final answer
    x = 570.03

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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.