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Finding the Fourth Proportional to 568.53, 784.58 and 319.83

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Solution

The fourth proportional to 568.53, 784.58 and 319.83 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.53 : 784.58 = 319.83 : x
  2. Step 2: Convert to fraction form
    568.53/784.58 = 319.83/x
  3. Step 3: Cross multiply
    568.53x = 784.58 × 319.83
  4. Step 4: Simplify right side
    568.53x = 250,932.22
  5. Step 5: Solve for x
    x = 250,932.22/568.53
  6. Step 6: Final answer
    x = 441.37

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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.