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Finding the Fourth Proportional to 378.87, 571.46 and 333.78

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Solution

The fourth proportional to 378.87, 571.46 and 333.78 is: 503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 571.46 = 333.78 : x
  2. Step 2: Convert to fraction form
    378.87/571.46 = 333.78/x
  3. Step 3: Cross multiply
    378.87x = 571.46 × 333.78
  4. Step 4: Simplify right side
    378.87x = 190,742.75
  5. Step 5: Solve for x
    x = 190,742.75/378.87
  6. Step 6: Final answer
    x = 503.45

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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.