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Finding the Fourth Proportional to 451.88, 676.13 and 322.18

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Solution

The fourth proportional to 451.88, 676.13 and 322.18 is: 482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.88 : 676.13 = 322.18 : x
  2. Step 2: Convert to fraction form
    451.88/676.13 = 322.18/x
  3. Step 3: Cross multiply
    451.88x = 676.13 × 322.18
  4. Step 4: Simplify right side
    451.88x = 217,835.56
  5. Step 5: Solve for x
    x = 217,835.56/451.88
  6. Step 6: Final answer
    x = 482.07

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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.