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Finding the Fourth Proportional to 382.44, 526.96 and 284.08

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Solution

The fourth proportional to 382.44, 526.96 and 284.08 is: 391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 526.96 = 284.08 : x
  2. Step 2: Convert to fraction form
    382.44/526.96 = 284.08/x
  3. Step 3: Cross multiply
    382.44x = 526.96 × 284.08
  4. Step 4: Simplify right side
    382.44x = 149,698.80
  5. Step 5: Solve for x
    x = 149,698.80/382.44
  6. Step 6: Final answer
    x = 391.43

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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.