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Finding the Fourth Proportional to 382.71, 527.17 and 295.23

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Solution

The fourth proportional to 382.71, 527.17 and 295.23 is: 406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 527.17 = 295.23 : x
  2. Step 2: Convert to fraction form
    382.71/527.17 = 295.23/x
  3. Step 3: Cross multiply
    382.71x = 527.17 × 295.23
  4. Step 4: Simplify right side
    382.71x = 155,636.40
  5. Step 5: Solve for x
    x = 155,636.40/382.71
  6. Step 6: Final answer
    x = 406.67

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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.