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Finding the Fourth Proportional to 382.46, 575.78 and 348.44

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Solution

The fourth proportional to 382.46, 575.78 and 348.44 is: 524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.46 : 575.78 = 348.44 : x
  2. Step 2: Convert to fraction form
    382.46/575.78 = 348.44/x
  3. Step 3: Cross multiply
    382.46x = 575.78 × 348.44
  4. Step 4: Simplify right side
    382.46x = 200,624.48
  5. Step 5: Solve for x
    x = 200,624.48/382.46
  6. Step 6: Final answer
    x = 524.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.