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Finding the Fourth Proportional to 399.40, 551.06 and 289.16

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Solution

The fourth proportional to 399.40, 551.06 and 289.16 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.40 : 551.06 = 289.16 : x
  2. Step 2: Convert to fraction form
    399.40/551.06 = 289.16/x
  3. Step 3: Cross multiply
    399.40x = 551.06 × 289.16
  4. Step 4: Simplify right side
    399.40x = 159,344.51
  5. Step 5: Solve for x
    x = 159,344.51/399.40
  6. Step 6: Final answer
    x = 398.96

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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.