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Finding the Fourth Proportional to 667.91, 1,002.01 and 235.07

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Solution

The fourth proportional to 667.91, 1,002.01 and 235.07 is: 352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.91 : 1,002.01 = 235.07 : x
  2. Step 2: Convert to fraction form
    667.91/1,002.01 = 235.07/x
  3. Step 3: Cross multiply
    667.91x = 1,002.01 × 235.07
  4. Step 4: Simplify right side
    667.91x = 235,537.48
  5. Step 5: Solve for x
    x = 235,537.48/667.91
  6. Step 6: Final answer
    x = 352.65

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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.