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Finding the Fourth Proportional to 671.63, 1,007.42 and 276.29

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Solution

The fourth proportional to 671.63, 1,007.42 and 276.29 is: 414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.63 : 1,007.42 = 276.29 : x
  2. Step 2: Convert to fraction form
    671.63/1,007.42 = 276.29/x
  3. Step 3: Cross multiply
    671.63x = 1,007.42 × 276.29
  4. Step 4: Simplify right side
    671.63x = 278,341.21
  5. Step 5: Solve for x
    x = 278,341.21/671.63
  6. Step 6: Final answer
    x = 414.43

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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.