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Finding the Fourth Proportional to 423.69, 584.19 and 395.88

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Solution

The fourth proportional to 423.69, 584.19 and 395.88 is: 545.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.69 : 584.19 = 395.88 : x
  2. Step 2: Convert to fraction form
    423.69/584.19 = 395.88/x
  3. Step 3: Cross multiply
    423.69x = 584.19 × 395.88
  4. Step 4: Simplify right side
    423.69x = 231,269.14
  5. Step 5: Solve for x
    x = 231,269.14/423.69
  6. Step 6: Final answer
    x = 545.85

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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.