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Finding the Fourth Proportional to 378.33, 522.17 and 284.94

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Solution

The fourth proportional to 378.33, 522.17 and 284.94 is: 393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.33 : 522.17 = 284.94 : x
  2. Step 2: Convert to fraction form
    378.33/522.17 = 284.94/x
  3. Step 3: Cross multiply
    378.33x = 522.17 × 284.94
  4. Step 4: Simplify right side
    378.33x = 148,785.70
  5. Step 5: Solve for x
    x = 148,785.70/378.33
  6. Step 6: Final answer
    x = 393.27

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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.