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Finding the Fourth Proportional to 606.80, 908.76 and 538.40

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Solution

The fourth proportional to 606.80, 908.76 and 538.40 is: 806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 908.76 = 538.40 : x
  2. Step 2: Convert to fraction form
    606.80/908.76 = 538.40/x
  3. Step 3: Cross multiply
    606.80x = 908.76 × 538.40
  4. Step 4: Simplify right side
    606.80x = 489,276.38
  5. Step 5: Solve for x
    x = 489,276.38/606.80
  6. Step 6: Final answer
    x = 806.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.