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Finding the Fourth Proportional to 568.23, 784.16 and 319.61

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Solution

The fourth proportional to 568.23, 784.16 and 319.61 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 784.16 = 319.61 : x
  2. Step 2: Convert to fraction form
    568.23/784.16 = 319.61/x
  3. Step 3: Cross multiply
    568.23x = 784.16 × 319.61
  4. Step 4: Simplify right side
    568.23x = 250,619.86
  5. Step 5: Solve for x
    x = 250,619.86/568.23
  6. Step 6: Final answer
    x = 441.05

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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.