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Finding the Fourth Proportional to 378.17, 566.57 and 329.57

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Solution

The fourth proportional to 378.17, 566.57 and 329.57 is: 493.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.17 : 566.57 = 329.57 : x
  2. Step 2: Convert to fraction form
    378.17/566.57 = 329.57/x
  3. Step 3: Cross multiply
    378.17x = 566.57 × 329.57
  4. Step 4: Simplify right side
    378.17x = 186,723.66
  5. Step 5: Solve for x
    x = 186,723.66/378.17
  6. Step 6: Final answer
    x = 493.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.