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Finding the Fourth Proportional to 667.82, 1,001.30 and 256.52

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Solution

The fourth proportional to 667.82, 1,001.30 and 256.52 is: 384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.82 : 1,001.30 = 256.52 : x
  2. Step 2: Convert to fraction form
    667.82/1,001.30 = 256.52/x
  3. Step 3: Cross multiply
    667.82x = 1,001.30 × 256.52
  4. Step 4: Simplify right side
    667.82x = 256,853.48
  5. Step 5: Solve for x
    x = 256,853.48/667.82
  6. Step 6: Final answer
    x = 384.61

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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.