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Finding the Fourth Proportional to 568.25, 784.21 and 319.55

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Solution

The fourth proportional to 568.25, 784.21 and 319.55 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.25 : 784.21 = 319.55 : x
  2. Step 2: Convert to fraction form
    568.25/784.21 = 319.55/x
  3. Step 3: Cross multiply
    568.25x = 784.21 × 319.55
  4. Step 4: Simplify right side
    568.25x = 250,594.31
  5. Step 5: Solve for x
    x = 250,594.31/568.25
  6. Step 6: Final answer
    x = 440.99

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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.