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Finding the Fourth Proportional to 382.97, 576.53 and 348.95

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Solution

The fourth proportional to 382.97, 576.53 and 348.95 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.97 : 576.53 = 348.95 : x
  2. Step 2: Convert to fraction form
    382.97/576.53 = 348.95/x
  3. Step 3: Cross multiply
    382.97x = 576.53 × 348.95
  4. Step 4: Simplify right side
    382.97x = 201,177.26
  5. Step 5: Solve for x
    x = 201,177.26/382.97
  6. Step 6: Final answer
    x = 525.32

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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.