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Finding the Fourth Proportional to 568.24, 784.19 and 319.59

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Solution

The fourth proportional to 568.24, 784.19 and 319.59 is: 441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.24 : 784.19 = 319.59 : x
  2. Step 2: Convert to fraction form
    568.24/784.19 = 319.59/x
  3. Step 3: Cross multiply
    568.24x = 784.19 × 319.59
  4. Step 4: Simplify right side
    568.24x = 250,619.28
  5. Step 5: Solve for x
    x = 250,619.28/568.24
  6. Step 6: Final answer
    x = 441.04

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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.