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Finding the Fourth Proportional to 667.52, 1,001.04 and 235.04

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Solution

The fourth proportional to 667.52, 1,001.04 and 235.04 is: 352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 1,001.04 = 235.04 : x
  2. Step 2: Convert to fraction form
    667.52/1,001.04 = 235.04/x
  3. Step 3: Cross multiply
    667.52x = 1,001.04 × 235.04
  4. Step 4: Simplify right side
    667.52x = 235,284.44
  5. Step 5: Solve for x
    x = 235,284.44/667.52
  6. Step 6: Final answer
    x = 352.48

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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.