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Finding the Fourth Proportional to 399.60, 551.36 and 233.84

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Solution

The fourth proportional to 399.60, 551.36 and 233.84 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.60 : 551.36 = 233.84 : x
  2. Step 2: Convert to fraction form
    399.60/551.36 = 233.84/x
  3. Step 3: Cross multiply
    399.60x = 551.36 × 233.84
  4. Step 4: Simplify right side
    399.60x = 128,930.02
  5. Step 5: Solve for x
    x = 128,930.02/399.60
  6. Step 6: Final answer
    x = 322.65

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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.