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Finding the Fourth Proportional to 461.16, 636.71 and 367.69

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Solution

The fourth proportional to 461.16, 636.71 and 367.69 is: 507.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 636.71 = 367.69 : x
  2. Step 2: Convert to fraction form
    461.16/636.71 = 367.69/x
  3. Step 3: Cross multiply
    461.16x = 636.71 × 367.69
  4. Step 4: Simplify right side
    461.16x = 234,111.73
  5. Step 5: Solve for x
    x = 234,111.73/461.16
  6. Step 6: Final answer
    x = 507.66

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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.