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Finding the Fourth Proportional to 447.31, 616.43 and 385.12

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Solution

The fourth proportional to 447.31, 616.43 and 385.12 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.31 : 616.43 = 385.12 : x
  2. Step 2: Convert to fraction form
    447.31/616.43 = 385.12/x
  3. Step 3: Cross multiply
    447.31x = 616.43 × 385.12
  4. Step 4: Simplify right side
    447.31x = 237,394.51
  5. Step 5: Solve for x
    x = 237,394.51/447.31
  6. Step 6: Final answer
    x = 530.72

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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.