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Finding the Fourth Proportional to 676.88, 1,015.36 and 384.26

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Solution

The fourth proportional to 676.88, 1,015.36 and 384.26 is: 576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.88 : 1,015.36 = 384.26 : x
  2. Step 2: Convert to fraction form
    676.88/1,015.36 = 384.26/x
  3. Step 3: Cross multiply
    676.88x = 1,015.36 × 384.26
  4. Step 4: Simplify right side
    676.88x = 390,165.97
  5. Step 5: Solve for x
    x = 390,165.97/676.88
  6. Step 6: Final answer
    x = 576.42

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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.