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Finding the Fourth Proportional to 461.29, 636.57 and 304

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Solution

The fourth proportional to 461.29, 636.57 and 304 is: 419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.29 : 636.57 = 304 : x
  2. Step 2: Convert to fraction form
    461.29/636.57 = 304/x
  3. Step 3: Cross multiply
    461.29x = 636.57 × 304
  4. Step 4: Simplify right side
    461.29x = 193,517.28
  5. Step 5: Solve for x
    x = 193,517.28/461.29
  6. Step 6: Final answer
    x = 419.51

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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.