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Finding the Fourth Proportional to 568.26, 783.99 and 319.59

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Solution

The fourth proportional to 568.26, 783.99 and 319.59 is: 440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 783.99 = 319.59 : x
  2. Step 2: Convert to fraction form
    568.26/783.99 = 319.59/x
  3. Step 3: Cross multiply
    568.26x = 783.99 × 319.59
  4. Step 4: Simplify right side
    568.26x = 250,555.36
  5. Step 5: Solve for x
    x = 250,555.36/568.26
  6. Step 6: Final answer
    x = 440.92

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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.