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Finding the Fourth Proportional to 256.50, 382.83 and 253.74

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Solution

The fourth proportional to 256.50, 382.83 and 253.74 is: 378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.50 : 382.83 = 253.74 : x
  2. Step 2: Convert to fraction form
    256.50/382.83 = 253.74/x
  3. Step 3: Cross multiply
    256.50x = 382.83 × 253.74
  4. Step 4: Simplify right side
    256.50x = 97,139.28
  5. Step 5: Solve for x
    x = 97,139.28/256.50
  6. Step 6: Final answer
    x = 378.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.