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Finding the Fourth Proportional to 606.90, 908.94 and 389.82

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Solution

The fourth proportional to 606.90, 908.94 and 389.82 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.90 : 908.94 = 389.82 : x
  2. Step 2: Convert to fraction form
    606.90/908.94 = 389.82/x
  3. Step 3: Cross multiply
    606.90x = 908.94 × 389.82
  4. Step 4: Simplify right side
    606.90x = 354,322.99
  5. Step 5: Solve for x
    x = 354,322.99/606.90
  6. Step 6: Final answer
    x = 583.82

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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.