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Finding the Fourth Proportional to 568.20, 784.10 and 319.53

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Solution

The fourth proportional to 568.20, 784.10 and 319.53 is: 440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 784.10 = 319.53 : x
  2. Step 2: Convert to fraction form
    568.20/784.10 = 319.53/x
  3. Step 3: Cross multiply
    568.20x = 784.10 × 319.53
  4. Step 4: Simplify right side
    568.20x = 250,544.31
  5. Step 5: Solve for x
    x = 250,544.31/568.20
  6. Step 6: Final answer
    x = 440.94

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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.