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Finding the Fourth Proportional to 382.81, 572.94 and 290.99

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Solution

The fourth proportional to 382.81, 572.94 and 290.99 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.81 : 572.94 = 290.99 : x
  2. Step 2: Convert to fraction form
    382.81/572.94 = 290.99/x
  3. Step 3: Cross multiply
    382.81x = 572.94 × 290.99
  4. Step 4: Simplify right side
    382.81x = 166,721.24
  5. Step 5: Solve for x
    x = 166,721.24/382.81
  6. Step 6: Final answer
    x = 435.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.