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Finding the Fourth Proportional to 461.52, 636.16 and 356.24

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Solution

The fourth proportional to 461.52, 636.16 and 356.24 is: 491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.52 : 636.16 = 356.24 : x
  2. Step 2: Convert to fraction form
    461.52/636.16 = 356.24/x
  3. Step 3: Cross multiply
    461.52x = 636.16 × 356.24
  4. Step 4: Simplify right side
    461.52x = 226,625.64
  5. Step 5: Solve for x
    x = 226,625.64/461.52
  6. Step 6: Final answer
    x = 491.04

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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.