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Finding the Fourth Proportional to 568.26, 784.08 and 371.43

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Solution

The fourth proportional to 568.26, 784.08 and 371.43 is: 512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 784.08 = 371.43 : x
  2. Step 2: Convert to fraction form
    568.26/784.08 = 371.43/x
  3. Step 3: Cross multiply
    568.26x = 784.08 × 371.43
  4. Step 4: Simplify right side
    568.26x = 291,230.83
  5. Step 5: Solve for x
    x = 291,230.83/568.26
  6. Step 6: Final answer
    x = 512.50

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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.