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Finding the Fourth Proportional to 614.54, 921.80 and 290.14

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Solution

The fourth proportional to 614.54, 921.80 and 290.14 is: 435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 921.80 = 290.14 : x
  2. Step 2: Convert to fraction form
    614.54/921.80 = 290.14/x
  3. Step 3: Cross multiply
    614.54x = 921.80 × 290.14
  4. Step 4: Simplify right side
    614.54x = 267,451.05
  5. Step 5: Solve for x
    x = 267,451.05/614.54
  6. Step 6: Final answer
    x = 435.21

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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.