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Finding the Fourth Proportional to 312.04, 466.28 and 233.44

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Solution

The fourth proportional to 312.04, 466.28 and 233.44 is: 348.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.04 : 466.28 = 233.44 : x
  2. Step 2: Convert to fraction form
    312.04/466.28 = 233.44/x
  3. Step 3: Cross multiply
    312.04x = 466.28 × 233.44
  4. Step 4: Simplify right side
    312.04x = 108,848.91
  5. Step 5: Solve for x
    x = 108,848.91/312.04
  6. Step 6: Final answer
    x = 348.83

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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.