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Finding the Fourth Proportional to 461.48, 636.82 and 284.41

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Solution

The fourth proportional to 461.48, 636.82 and 284.41 is: 392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 636.82 = 284.41 : x
  2. Step 2: Convert to fraction form
    461.48/636.82 = 284.41/x
  3. Step 3: Cross multiply
    461.48x = 636.82 × 284.41
  4. Step 4: Simplify right side
    461.48x = 181,117.98
  5. Step 5: Solve for x
    x = 181,117.98/461.48
  6. Step 6: Final answer
    x = 392.47

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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.