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Finding the Fourth Proportional to 672.29, 1,008.42 and 287.54

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Solution

The fourth proportional to 672.29, 1,008.42 and 287.54 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.29 : 1,008.42 = 287.54 : x
  2. Step 2: Convert to fraction form
    672.29/1,008.42 = 287.54/x
  3. Step 3: Cross multiply
    672.29x = 1,008.42 × 287.54
  4. Step 4: Simplify right side
    672.29x = 289,956.04
  5. Step 5: Solve for x
    x = 289,956.04/672.29
  6. Step 6: Final answer
    x = 431.30

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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.