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Finding the Fourth Proportional to 491.22, 676.82 and 325.16

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Solution

The fourth proportional to 491.22, 676.82 and 325.16 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 676.82 = 325.16 : x
  2. Step 2: Convert to fraction form
    491.22/676.82 = 325.16/x
  3. Step 3: Cross multiply
    491.22x = 676.82 × 325.16
  4. Step 4: Simplify right side
    491.22x = 220,074.79
  5. Step 5: Solve for x
    x = 220,074.79/491.22
  6. Step 6: Final answer
    x = 448.02

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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.