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Finding the Fourth Proportional to 256.88, 382.58 and 255.60

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Solution

The fourth proportional to 256.88, 382.58 and 255.60 is: 380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.88 : 382.58 = 255.60 : x
  2. Step 2: Convert to fraction form
    256.88/382.58 = 255.60/x
  3. Step 3: Cross multiply
    256.88x = 382.58 × 255.60
  4. Step 4: Simplify right side
    256.88x = 97,787.45
  5. Step 5: Solve for x
    x = 97,787.45/256.88
  6. Step 6: Final answer
    x = 380.67

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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.