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Finding the Fourth Proportional to 423.26, 582.82 and 398.60

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Solution

The fourth proportional to 423.26, 582.82 and 398.60 is: 548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 582.82 = 398.60 : x
  2. Step 2: Convert to fraction form
    423.26/582.82 = 398.60/x
  3. Step 3: Cross multiply
    423.26x = 582.82 × 398.60
  4. Step 4: Simplify right side
    423.26x = 232,307.14
  5. Step 5: Solve for x
    x = 232,307.14/423.26
  6. Step 6: Final answer
    x = 548.86

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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.