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Finding the Fourth Proportional to 461.41, 636.59 and 264.85

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Solution

The fourth proportional to 461.41, 636.59 and 264.85 is: 365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.41 : 636.59 = 264.85 : x
  2. Step 2: Convert to fraction form
    461.41/636.59 = 264.85/x
  3. Step 3: Cross multiply
    461.41x = 636.59 × 264.85
  4. Step 4: Simplify right side
    461.41x = 168,599.93
  5. Step 5: Solve for x
    x = 168,599.93/461.41
  6. Step 6: Final answer
    x = 365.40

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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.