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Finding the Fourth Proportional to 445.24, 613.85 and 305.10

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Solution

The fourth proportional to 445.24, 613.85 and 305.10 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.24 : 613.85 = 305.10 : x
  2. Step 2: Convert to fraction form
    445.24/613.85 = 305.10/x
  3. Step 3: Cross multiply
    445.24x = 613.85 × 305.10
  4. Step 4: Simplify right side
    445.24x = 187,288.15
  5. Step 5: Solve for x
    x = 187,288.15/445.24
  6. Step 6: Final answer
    x = 420.65

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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.