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Finding the Fourth Proportional to 674.14, 1,011.01 and 235.37

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Solution

The fourth proportional to 674.14, 1,011.01 and 235.37 is: 352.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.14 : 1,011.01 = 235.37 : x
  2. Step 2: Convert to fraction form
    674.14/1,011.01 = 235.37/x
  3. Step 3: Cross multiply
    674.14x = 1,011.01 × 235.37
  4. Step 4: Simplify right side
    674.14x = 237,961.42
  5. Step 5: Solve for x
    x = 237,961.42/674.14
  6. Step 6: Final answer
    x = 352.99

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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.