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Finding the Fourth Proportional to 461.50, 636.97 and 314.19

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Solution

The fourth proportional to 461.50, 636.97 and 314.19 is: 433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 636.97 = 314.19 : x
  2. Step 2: Convert to fraction form
    461.50/636.97 = 314.19/x
  3. Step 3: Cross multiply
    461.50x = 636.97 × 314.19
  4. Step 4: Simplify right side
    461.50x = 200,129.60
  5. Step 5: Solve for x
    x = 200,129.60/461.50
  6. Step 6: Final answer
    x = 433.65

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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.