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Finding the Fourth Proportional to 445.72, 614.44 and 383.28

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Solution

The fourth proportional to 445.72, 614.44 and 383.28 is: 528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.72 : 614.44 = 383.28 : x
  2. Step 2: Convert to fraction form
    445.72/614.44 = 383.28/x
  3. Step 3: Cross multiply
    445.72x = 614.44 × 383.28
  4. Step 4: Simplify right side
    445.72x = 235,502.56
  5. Step 5: Solve for x
    x = 235,502.56/445.72
  6. Step 6: Final answer
    x = 528.36

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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.