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Finding the Fourth Proportional to 399.30, 551.16 and 233.60

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Solution

The fourth proportional to 399.30, 551.16 and 233.60 is: 322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 551.16 = 233.60 : x
  2. Step 2: Convert to fraction form
    399.30/551.16 = 233.60/x
  3. Step 3: Cross multiply
    399.30x = 551.16 × 233.60
  4. Step 4: Simplify right side
    399.30x = 128,748.22
  5. Step 5: Solve for x
    x = 128,748.22/399.30
  6. Step 6: Final answer
    x = 322.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.