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Finding the Fourth Proportional to 461.27, 636.28 and 377.39

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Solution

The fourth proportional to 461.27, 636.28 and 377.39 is: 520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.27 : 636.28 = 377.39 : x
  2. Step 2: Convert to fraction form
    461.27/636.28 = 377.39/x
  3. Step 3: Cross multiply
    461.27x = 636.28 × 377.39
  4. Step 4: Simplify right side
    461.27x = 240,125.71
  5. Step 5: Solve for x
    x = 240,125.71/461.27
  6. Step 6: Final answer
    x = 520.58

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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.