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Finding the Fourth Proportional to 568.57, 784.83 and 419.37

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Solution

The fourth proportional to 568.57, 784.83 and 419.37 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.57 : 784.83 = 419.37 : x
  2. Step 2: Convert to fraction form
    568.57/784.83 = 419.37/x
  3. Step 3: Cross multiply
    568.57x = 784.83 × 419.37
  4. Step 4: Simplify right side
    568.57x = 329,132.06
  5. Step 5: Solve for x
    x = 329,132.06/568.57
  6. Step 6: Final answer
    x = 578.88

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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.