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Finding the Fourth Proportional to 382.58, 527.76 and 251.46

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Solution

The fourth proportional to 382.58, 527.76 and 251.46 is: 346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.58 : 527.76 = 251.46 : x
  2. Step 2: Convert to fraction form
    382.58/527.76 = 251.46/x
  3. Step 3: Cross multiply
    382.58x = 527.76 × 251.46
  4. Step 4: Simplify right side
    382.58x = 132,710.53
  5. Step 5: Solve for x
    x = 132,710.53/382.58
  6. Step 6: Final answer
    x = 346.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.