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Finding the Fourth Proportional to 908.88, 1,364.00 and 422.27

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Solution

The fourth proportional to 908.88, 1,364.00 and 422.27 is: 633.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.88 : 1,364.00 = 422.27 : x
  2. Step 2: Convert to fraction form
    908.88/1,364.00 = 422.27/x
  3. Step 3: Cross multiply
    908.88x = 1,364.00 × 422.27
  4. Step 4: Simplify right side
    908.88x = 575,967.35
  5. Step 5: Solve for x
    x = 575,967.35/908.88
  6. Step 6: Final answer
    x = 633.71

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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.