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Finding the Fourth Proportional to 659.80, 991.23 and 413.76

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Solution

The fourth proportional to 659.80, 991.23 and 413.76 is: 621.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.80 : 991.23 = 413.76 : x
  2. Step 2: Convert to fraction form
    659.80/991.23 = 413.76/x
  3. Step 3: Cross multiply
    659.80x = 991.23 × 413.76
  4. Step 4: Simplify right side
    659.80x = 410,131.32
  5. Step 5: Solve for x
    x = 410,131.32/659.80
  6. Step 6: Final answer
    x = 621.60

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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.