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Finding the Fourth Proportional to 382.71, 576.15 and 348.69

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Solution

The fourth proportional to 382.71, 576.15 and 348.69 is: 524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.71 : 576.15 = 348.69 : x
  2. Step 2: Convert to fraction form
    382.71/576.15 = 348.69/x
  3. Step 3: Cross multiply
    382.71x = 576.15 × 348.69
  4. Step 4: Simplify right side
    382.71x = 200,900.06
  5. Step 5: Solve for x
    x = 200,900.06/382.71
  6. Step 6: Final answer
    x = 524.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.