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Finding the Fourth Proportional to 378.69, 568.14 and 313.38

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Solution

The fourth proportional to 378.69, 568.14 and 313.38 is: 470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.69 : 568.14 = 313.38 : x
  2. Step 2: Convert to fraction form
    378.69/568.14 = 313.38/x
  3. Step 3: Cross multiply
    378.69x = 568.14 × 313.38
  4. Step 4: Simplify right side
    378.69x = 178,042.15
  5. Step 5: Solve for x
    x = 178,042.15/378.69
  6. Step 6: Final answer
    x = 470.16

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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.