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Finding the Fourth Proportional to 461.57, 637.17 and 304.28

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Solution

The fourth proportional to 461.57, 637.17 and 304.28 is: 420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.57 : 637.17 = 304.28 : x
  2. Step 2: Convert to fraction form
    461.57/637.17 = 304.28/x
  3. Step 3: Cross multiply
    461.57x = 637.17 × 304.28
  4. Step 4: Simplify right side
    461.57x = 193,879.68
  5. Step 5: Solve for x
    x = 193,879.68/461.57
  6. Step 6: Final answer
    x = 420.05

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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.