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Finding the Fourth Proportional to 264.59, 364.67 and 234.42

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Solution

The fourth proportional to 264.59, 364.67 and 234.42 is: 323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.59 : 364.67 = 234.42 : x
  2. Step 2: Convert to fraction form
    264.59/364.67 = 234.42/x
  3. Step 3: Cross multiply
    264.59x = 364.67 × 234.42
  4. Step 4: Simplify right side
    264.59x = 85,485.94
  5. Step 5: Solve for x
    x = 85,485.94/264.59
  6. Step 6: Final answer
    x = 323.09

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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.