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Finding the Fourth Proportional to 461.39, 636.86 and 314.00

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Solution

The fourth proportional to 461.39, 636.86 and 314.00 is: 433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 636.86 = 314.00 : x
  2. Step 2: Convert to fraction form
    461.39/636.86 = 314.00/x
  3. Step 3: Cross multiply
    461.39x = 636.86 × 314.00
  4. Step 4: Simplify right side
    461.39x = 199,971.64
  5. Step 5: Solve for x
    x = 199,971.64/461.39
  6. Step 6: Final answer
    x = 433.42

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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.