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Finding the Fourth Proportional to 614.84, 922.80 and 422.60

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Solution

The fourth proportional to 614.84, 922.80 and 422.60 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 922.80 = 422.60 : x
  2. Step 2: Convert to fraction form
    614.84/922.80 = 422.60/x
  3. Step 3: Cross multiply
    614.84x = 922.80 × 422.60
  4. Step 4: Simplify right side
    614.84x = 389,975.28
  5. Step 5: Solve for x
    x = 389,975.28/614.84
  6. Step 6: Final answer
    x = 634.27

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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.