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Finding the Fourth Proportional to 461.53, 636.64 and 304.21

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Solution

The fourth proportional to 461.53, 636.64 and 304.21 is: 419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 636.64 = 304.21 : x
  2. Step 2: Convert to fraction form
    461.53/636.64 = 304.21/x
  3. Step 3: Cross multiply
    461.53x = 636.64 × 304.21
  4. Step 4: Simplify right side
    461.53x = 193,672.25
  5. Step 5: Solve for x
    x = 193,672.25/461.53
  6. Step 6: Final answer
    x = 419.63

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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.