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Finding the Fourth Proportional to 254.57, 382.17 and 253.40

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Solution

The fourth proportional to 254.57, 382.17 and 253.40 is: 380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.57 : 382.17 = 253.40 : x
  2. Step 2: Convert to fraction form
    254.57/382.17 = 253.40/x
  3. Step 3: Cross multiply
    254.57x = 382.17 × 253.40
  4. Step 4: Simplify right side
    254.57x = 96,841.88
  5. Step 5: Solve for x
    x = 96,841.88/254.57
  6. Step 6: Final answer
    x = 380.41

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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.