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Finding the Fourth Proportional to 445.75, 614.66 and 306.07

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Solution

The fourth proportional to 445.75, 614.66 and 306.07 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.75 : 614.66 = 306.07 : x
  2. Step 2: Convert to fraction form
    445.75/614.66 = 306.07/x
  3. Step 3: Cross multiply
    445.75x = 614.66 × 306.07
  4. Step 4: Simplify right side
    445.75x = 188,128.21
  5. Step 5: Solve for x
    x = 188,128.21/445.75
  6. Step 6: Final answer
    x = 422.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.