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Finding the Fourth Proportional to 657.21, 986.48 and 413.91

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Solution

The fourth proportional to 657.21, 986.48 and 413.91 is: 621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.21 : 986.48 = 413.91 : x
  2. Step 2: Convert to fraction form
    657.21/986.48 = 413.91/x
  3. Step 3: Cross multiply
    657.21x = 986.48 × 413.91
  4. Step 4: Simplify right side
    657.21x = 408,313.42
  5. Step 5: Solve for x
    x = 408,313.42/657.21
  6. Step 6: Final answer
    x = 621.28

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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.