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Finding the Fourth Proportional to 491.19, 676.11 and 421.19

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Solution

The fourth proportional to 491.19, 676.11 and 421.19 is: 579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.19 : 676.11 = 421.19 : x
  2. Step 2: Convert to fraction form
    491.19/676.11 = 421.19/x
  3. Step 3: Cross multiply
    491.19x = 676.11 × 421.19
  4. Step 4: Simplify right side
    491.19x = 284,765.28
  5. Step 5: Solve for x
    x = 284,765.28/491.19
  6. Step 6: Final answer
    x = 579.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.