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Finding the Fourth Proportional to 461.88, 637.48 and 314.42

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Solution

The fourth proportional to 461.88, 637.48 and 314.42 is: 433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 637.48 = 314.42 : x
  2. Step 2: Convert to fraction form
    461.88/637.48 = 314.42/x
  3. Step 3: Cross multiply
    461.88x = 637.48 × 314.42
  4. Step 4: Simplify right side
    461.88x = 200,436.46
  5. Step 5: Solve for x
    x = 200,436.46/461.88
  6. Step 6: Final answer
    x = 433.96

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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.