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Finding the Fourth Proportional to 461.85, 637.25 and 265.47

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Solution

The fourth proportional to 461.85, 637.25 and 265.47 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 637.25 = 265.47 : x
  2. Step 2: Convert to fraction form
    461.85/637.25 = 265.47/x
  3. Step 3: Cross multiply
    461.85x = 637.25 × 265.47
  4. Step 4: Simplify right side
    461.85x = 169,169.43
  5. Step 5: Solve for x
    x = 169,169.43/461.85
  6. Step 6: Final answer
    x = 366.29

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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.