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Finding the Fourth Proportional to 493.06, 679.70 and 405.04

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Solution

The fourth proportional to 493.06, 679.70 and 405.04 is: 558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.06 : 679.70 = 405.04 : x
  2. Step 2: Convert to fraction form
    493.06/679.70 = 405.04/x
  3. Step 3: Cross multiply
    493.06x = 679.70 × 405.04
  4. Step 4: Simplify right side
    493.06x = 275,305.69
  5. Step 5: Solve for x
    x = 275,305.69/493.06
  6. Step 6: Final answer
    x = 558.36

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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.