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Finding the Fourth Proportional to 461.08, 636.31 and 284.01

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Solution

The fourth proportional to 461.08, 636.31 and 284.01 is: 391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 636.31 = 284.01 : x
  2. Step 2: Convert to fraction form
    461.08/636.31 = 284.01/x
  3. Step 3: Cross multiply
    461.08x = 636.31 × 284.01
  4. Step 4: Simplify right side
    461.08x = 180,714.51
  5. Step 5: Solve for x
    x = 180,714.51/461.08
  6. Step 6: Final answer
    x = 391.94

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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.