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Finding the Fourth Proportional to 482.82, 724.14 and 301.38

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Solution

The fourth proportional to 482.82, 724.14 and 301.38 is: 452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.82 : 724.14 = 301.38 : x
  2. Step 2: Convert to fraction form
    482.82/724.14 = 301.38/x
  3. Step 3: Cross multiply
    482.82x = 724.14 × 301.38
  4. Step 4: Simplify right side
    482.82x = 218,241.31
  5. Step 5: Solve for x
    x = 218,241.31/482.82
  6. Step 6: Final answer
    x = 452.01

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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.