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Finding the Fourth Proportional to 568.27, 784.15 and 319.58

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Solution

The fourth proportional to 568.27, 784.15 and 319.58 is: 440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.27 : 784.15 = 319.58 : x
  2. Step 2: Convert to fraction form
    568.27/784.15 = 319.58/x
  3. Step 3: Cross multiply
    568.27x = 784.15 × 319.58
  4. Step 4: Simplify right side
    568.27x = 250,602.24
  5. Step 5: Solve for x
    x = 250,602.24/568.27
  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.