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Finding the Fourth Proportional to 378.24, 566.72 and 314.24

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Solution

The fourth proportional to 378.24, 566.72 and 314.24 is: 470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.24 : 566.72 = 314.24 : x
  2. Step 2: Convert to fraction form
    378.24/566.72 = 314.24/x
  3. Step 3: Cross multiply
    378.24x = 566.72 × 314.24
  4. Step 4: Simplify right side
    378.24x = 178,086.09
  5. Step 5: Solve for x
    x = 178,086.09/378.24
  6. Step 6: Final answer
    x = 470.83

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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.