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Finding the Fourth Proportional to 461.89, 636.66 and 362.14

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Solution

The fourth proportional to 461.89, 636.66 and 362.14 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.89 : 636.66 = 362.14 : x
  2. Step 2: Convert to fraction form
    461.89/636.66 = 362.14/x
  3. Step 3: Cross multiply
    461.89x = 636.66 × 362.14
  4. Step 4: Simplify right side
    461.89x = 230,560.05
  5. Step 5: Solve for x
    x = 230,560.05/461.89
  6. Step 6: Final answer
    x = 499.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.