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Finding the Fourth Proportional to 568.29, 784.24 and 319.61

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Solution

The fourth proportional to 568.29, 784.24 and 319.61 is: 441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.29 : 784.24 = 319.61 : x
  2. Step 2: Convert to fraction form
    568.29/784.24 = 319.61/x
  3. Step 3: Cross multiply
    568.29x = 784.24 × 319.61
  4. Step 4: Simplify right side
    568.29x = 250,650.95
  5. Step 5: Solve for x
    x = 250,650.95/568.29
  6. Step 6: Final answer
    x = 441.06

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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.