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Finding the Fourth Proportional to 604.11, 833.52 and 493.41

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Solution

The fourth proportional to 604.11, 833.52 and 493.41 is: 680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.11 : 833.52 = 493.41 : x
  2. Step 2: Convert to fraction form
    604.11/833.52 = 493.41/x
  3. Step 3: Cross multiply
    604.11x = 833.52 × 493.41
  4. Step 4: Simplify right side
    604.11x = 411,267.10
  5. Step 5: Solve for x
    x = 411,267.10/604.11
  6. Step 6: Final answer
    x = 680.78

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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.