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Finding the Fourth Proportional to 614.26, 922.20 and 290.26

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Solution

The fourth proportional to 614.26, 922.20 and 290.26 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.26 : 922.20 = 290.26 : x
  2. Step 2: Convert to fraction form
    614.26/922.20 = 290.26/x
  3. Step 3: Cross multiply
    614.26x = 922.20 × 290.26
  4. Step 4: Simplify right side
    614.26x = 267,677.77
  5. Step 5: Solve for x
    x = 267,677.77/614.26
  6. Step 6: Final answer
    x = 435.77

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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.