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Finding the Fourth Proportional to 423.30, 633.87 and 229.98

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Solution

The fourth proportional to 423.30, 633.87 and 229.98 is: 344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 633.87 = 229.98 : x
  2. Step 2: Convert to fraction form
    423.30/633.87 = 229.98/x
  3. Step 3: Cross multiply
    423.30x = 633.87 × 229.98
  4. Step 4: Simplify right side
    423.30x = 145,777.42
  5. Step 5: Solve for x
    x = 145,777.42/423.30
  6. Step 6: Final answer
    x = 344.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.