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Finding the Fourth Proportional to 271.59, 407.42 and 234.66

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Solution

The fourth proportional to 271.59, 407.42 and 234.66 is: 352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.59 : 407.42 = 234.66 : x
  2. Step 2: Convert to fraction form
    271.59/407.42 = 234.66/x
  3. Step 3: Cross multiply
    271.59x = 407.42 × 234.66
  4. Step 4: Simplify right side
    271.59x = 95,604.00
  5. Step 5: Solve for x
    x = 95,604.00/271.59
  6. Step 6: Final answer
    x = 352.02

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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.