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Finding the Fourth Proportional to 461.38, 636.74 and 362.98

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Solution

The fourth proportional to 461.38, 636.74 and 362.98 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.38 : 636.74 = 362.98 : x
  2. Step 2: Convert to fraction form
    461.38/636.74 = 362.98/x
  3. Step 3: Cross multiply
    461.38x = 636.74 × 362.98
  4. Step 4: Simplify right side
    461.38x = 231,123.89
  5. Step 5: Solve for x
    x = 231,123.89/461.38
  6. Step 6: Final answer
    x = 500.94

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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.