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Finding the Fourth Proportional to 271.94, 407.30 and 232.98

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Solution

The fourth proportional to 271.94, 407.30 and 232.98 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.94 : 407.30 = 232.98 : x
  2. Step 2: Convert to fraction form
    271.94/407.30 = 232.98/x
  3. Step 3: Cross multiply
    271.94x = 407.30 × 232.98
  4. Step 4: Simplify right side
    271.94x = 94,892.75
  5. Step 5: Solve for x
    x = 94,892.75/271.94
  6. Step 6: Final answer
    x = 348.95

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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.