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Finding the Fourth Proportional to 478.31, 661.17 and 399.16

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Solution

The fourth proportional to 478.31, 661.17 and 399.16 is: 551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.31 : 661.17 = 399.16 : x
  2. Step 2: Convert to fraction form
    478.31/661.17 = 399.16/x
  3. Step 3: Cross multiply
    478.31x = 661.17 × 399.16
  4. Step 4: Simplify right side
    478.31x = 263,911.62
  5. Step 5: Solve for x
    x = 263,911.62/478.31
  6. Step 6: Final answer
    x = 551.76

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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.