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Finding the Fourth Proportional to 570.28, 855.44 and 377.80

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Solution

The fourth proportional to 570.28, 855.44 and 377.80 is: 566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.28 : 855.44 = 377.80 : x
  2. Step 2: Convert to fraction form
    570.28/855.44 = 377.80/x
  3. Step 3: Cross multiply
    570.28x = 855.44 × 377.80
  4. Step 4: Simplify right side
    570.28x = 323,185.23
  5. Step 5: Solve for x
    x = 323,185.23/570.28
  6. Step 6: Final answer
    x = 566.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.