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Finding the Fourth Proportional to 491.69, 679.07 and 382.48

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Solution

The fourth proportional to 491.69, 679.07 and 382.48 is: 528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.69 : 679.07 = 382.48 : x
  2. Step 2: Convert to fraction form
    491.69/679.07 = 382.48/x
  3. Step 3: Cross multiply
    491.69x = 679.07 × 382.48
  4. Step 4: Simplify right side
    491.69x = 259,730.69
  5. Step 5: Solve for x
    x = 259,730.69/491.69
  6. Step 6: Final answer
    x = 528.24

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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.