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Finding the Fourth Proportional to 382, 576.01 and 310.72

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Solution

The fourth proportional to 382, 576.01 and 310.72 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382 : 576.01 = 310.72 : x
  2. Step 2: Convert to fraction form
    382/576.01 = 310.72/x
  3. Step 3: Cross multiply
    382x = 576.01 × 310.72
  4. Step 4: Simplify right side
    382x = 178,977.83
  5. Step 5: Solve for x
    x = 178,977.83/382
  6. Step 6: Final answer
    x = 468.53

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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.