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Finding the Fourth Proportional to 568.38, 784.42 and 319.78

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Solution

The fourth proportional to 568.38, 784.42 and 319.78 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.38 : 784.42 = 319.78 : x
  2. Step 2: Convert to fraction form
    568.38/784.42 = 319.78/x
  3. Step 3: Cross multiply
    568.38x = 784.42 × 319.78
  4. Step 4: Simplify right side
    568.38x = 250,842.01
  5. Step 5: Solve for x
    x = 250,842.01/568.38
  6. Step 6: Final answer
    x = 441.33

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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.