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Finding the Fourth Proportional to 451.02, 676.08 and 231.51

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Solution

The fourth proportional to 451.02, 676.08 and 231.51 is: 347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.02 : 676.08 = 231.51 : x
  2. Step 2: Convert to fraction form
    451.02/676.08 = 231.51/x
  3. Step 3: Cross multiply
    451.02x = 676.08 × 231.51
  4. Step 4: Simplify right side
    451.02x = 156,519.28
  5. Step 5: Solve for x
    x = 156,519.28/451.02
  6. Step 6: Final answer
    x = 347.03

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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.