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Finding the Fourth Proportional to 614.03, 921.20 and 306.05

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Solution

The fourth proportional to 614.03, 921.20 and 306.05 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.03 : 921.20 = 306.05 : x
  2. Step 2: Convert to fraction form
    614.03/921.20 = 306.05/x
  3. Step 3: Cross multiply
    614.03x = 921.20 × 306.05
  4. Step 4: Simplify right side
    614.03x = 281,927.12
  5. Step 5: Solve for x
    x = 281,927.12/614.03
  6. Step 6: Final answer
    x = 459.15

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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.