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Finding the Fourth Proportional to 637.81, 880.20 and 413.80

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Solution

The fourth proportional to 637.81, 880.20 and 413.80 is: 571.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.81 : 880.20 = 413.80 : x
  2. Step 2: Convert to fraction form
    637.81/880.20 = 413.80/x
  3. Step 3: Cross multiply
    637.81x = 880.20 × 413.80
  4. Step 4: Simplify right side
    637.81x = 364,226.76
  5. Step 5: Solve for x
    x = 364,226.76/637.81
  6. Step 6: Final answer
    x = 571.06

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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.