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Finding the Fourth Proportional to 461.12, 636.59 and 313.97

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Solution

The fourth proportional to 461.12, 636.59 and 313.97 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 636.59 = 313.97 : x
  2. Step 2: Convert to fraction form
    461.12/636.59 = 313.97/x
  3. Step 3: Cross multiply
    461.12x = 636.59 × 313.97
  4. Step 4: Simplify right side
    461.12x = 199,867.76
  5. Step 5: Solve for x
    x = 199,867.76/461.12
  6. Step 6: Final answer
    x = 433.44

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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.