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Finding the Fourth Proportional to 568.29, 784.19 and 319.56

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Solution

The fourth proportional to 568.29, 784.19 and 319.56 is: 440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.29 : 784.19 = 319.56 : x
  2. Step 2: Convert to fraction form
    568.29/784.19 = 319.56/x
  3. Step 3: Cross multiply
    568.29x = 784.19 × 319.56
  4. Step 4: Simplify right side
    568.29x = 250,593.61
  5. Step 5: Solve for x
    x = 250,593.61/568.29
  6. Step 6: Final answer
    x = 440.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.