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Finding the Fourth Proportional to 568.50, 784.44 and 319.77

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Solution

The fourth proportional to 568.50, 784.44 and 319.77 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.50 : 784.44 = 319.77 : x
  2. Step 2: Convert to fraction form
    568.50/784.44 = 319.77/x
  3. Step 3: Cross multiply
    568.50x = 784.44 × 319.77
  4. Step 4: Simplify right side
    568.50x = 250,840.38
  5. Step 5: Solve for x
    x = 250,840.38/568.50
  6. Step 6: Final answer
    x = 441.23

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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.