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Finding the Fourth Proportional to 461.76, 637.22 and 314.44

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Solution

The fourth proportional to 461.76, 637.22 and 314.44 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 637.22 = 314.44 : x
  2. Step 2: Convert to fraction form
    461.76/637.22 = 314.44/x
  3. Step 3: Cross multiply
    461.76x = 637.22 × 314.44
  4. Step 4: Simplify right side
    461.76x = 200,367.46
  5. Step 5: Solve for x
    x = 200,367.46/461.76
  6. Step 6: Final answer
    x = 433.92

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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.