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Finding the Fourth Proportional to 568.20, 784.41 and 393.24

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Solution

The fourth proportional to 568.20, 784.41 and 393.24 is: 542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 784.41 = 393.24 : x
  2. Step 2: Convert to fraction form
    568.20/784.41 = 393.24/x
  3. Step 3: Cross multiply
    568.20x = 784.41 × 393.24
  4. Step 4: Simplify right side
    568.20x = 308,461.39
  5. Step 5: Solve for x
    x = 308,461.39/568.20
  6. Step 6: Final answer
    x = 542.87

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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.