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Finding the Fourth Proportional to 466.32, 647.99 and 461.27

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Solution

The fourth proportional to 466.32, 647.99 and 461.27 is: 640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.32 : 647.99 = 461.27 : x
  2. Step 2: Convert to fraction form
    466.32/647.99 = 461.27/x
  3. Step 3: Cross multiply
    466.32x = 647.99 × 461.27
  4. Step 4: Simplify right side
    466.32x = 298,892.80
  5. Step 5: Solve for x
    x = 298,892.80/466.32
  6. Step 6: Final answer
    x = 640.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.