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Finding the Fourth Proportional to 382.10, 572.76 and 217.40

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Solution

The fourth proportional to 382.10, 572.76 and 217.40 is: 325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 572.76 = 217.40 : x
  2. Step 2: Convert to fraction form
    382.10/572.76 = 217.40/x
  3. Step 3: Cross multiply
    382.10x = 572.76 × 217.40
  4. Step 4: Simplify right side
    382.10x = 124,518.02
  5. Step 5: Solve for x
    x = 124,518.02/382.10
  6. Step 6: Final answer
    x = 325.88

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Why These Related Problems?

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