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Finding the Fourth Proportional to 264.42, 394.30 and 233.44

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Solution

The fourth proportional to 264.42, 394.30 and 233.44 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.42 : 394.30 = 233.44 : x
  2. Step 2: Convert to fraction form
    264.42/394.30 = 233.44/x
  3. Step 3: Cross multiply
    264.42x = 394.30 × 233.44
  4. Step 4: Simplify right side
    264.42x = 92,044.70
  5. Step 5: Solve for x
    x = 92,044.70/264.42
  6. Step 6: Final answer
    x = 348.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.