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Finding the Fourth Proportional to 494.48, 682.64 and 461.76

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Solution

The fourth proportional to 494.48, 682.64 and 461.76 is: 637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.48 : 682.64 = 461.76 : x
  2. Step 2: Convert to fraction form
    494.48/682.64 = 461.76/x
  3. Step 3: Cross multiply
    494.48x = 682.64 × 461.76
  4. Step 4: Simplify right side
    494.48x = 315,215.85
  5. Step 5: Solve for x
    x = 315,215.85/494.48
  6. Step 6: Final answer
    x = 637.47

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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.