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Finding the Fourth Proportional to 461.16, 636.46 and 286.40

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Solution

The fourth proportional to 461.16, 636.46 and 286.40 is: 395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 636.46 = 286.40 : x
  2. Step 2: Convert to fraction form
    461.16/636.46 = 286.40/x
  3. Step 3: Cross multiply
    461.16x = 636.46 × 286.40
  4. Step 4: Simplify right side
    461.16x = 182,283.02
  5. Step 5: Solve for x
    x = 182,283.02/461.16
  6. Step 6: Final answer
    x = 395.27

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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.