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Finding the Fourth Proportional to 465.11, 641.94 and 290.42

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Solution

The fourth proportional to 465.11, 641.94 and 290.42 is: 400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 641.94 = 290.42 : x
  2. Step 2: Convert to fraction form
    465.11/641.94 = 290.42/x
  3. Step 3: Cross multiply
    465.11x = 641.94 × 290.42
  4. Step 4: Simplify right side
    465.11x = 186,432.21
  5. Step 5: Solve for x
    x = 186,432.21/465.11
  6. Step 6: Final answer
    x = 400.83

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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.