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Finding the Fourth Proportional to 399.89, 551.70 and 234.00

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Solution

The fourth proportional to 399.89, 551.70 and 234.00 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.89 : 551.70 = 234.00 : x
  2. Step 2: Convert to fraction form
    399.89/551.70 = 234.00/x
  3. Step 3: Cross multiply
    399.89x = 551.70 × 234.00
  4. Step 4: Simplify right side
    399.89x = 129,098.01
  5. Step 5: Solve for x
    x = 129,098.01/399.89
  6. Step 6: Final answer
    x = 322.84

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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.