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Finding the Fourth Proportional to 494.08, 680.96 and 471

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Solution

The fourth proportional to 494.08, 680.96 and 471 is: 649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.08 : 680.96 = 471 : x
  2. Step 2: Convert to fraction form
    494.08/680.96 = 471/x
  3. Step 3: Cross multiply
    494.08x = 680.96 × 471
  4. Step 4: Simplify right side
    494.08x = 320,732.16
  5. Step 5: Solve for x
    x = 320,732.16/494.08
  6. Step 6: Final answer
    x = 649.15

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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.