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Finding the Fourth Proportional to 568.23, 784.16 and 319.55

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Solution

The fourth proportional to 568.23, 784.16 and 319.55 is: 440.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.23 : 784.16 = 319.55 : x
  2. Step 2: Convert to fraction form
    568.23/784.16 = 319.55/x
  3. Step 3: Cross multiply
    568.23x = 784.16 × 319.55
  4. Step 4: Simplify right side
    568.23x = 250,578.33
  5. Step 5: Solve for x
    x = 250,578.33/568.23
  6. Step 6: Final answer
    x = 440.98

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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.