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Finding the Fourth Proportional to 570.14, 855.41 and 326.87

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Solution

The fourth proportional to 570.14, 855.41 and 326.87 is: 490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.14 : 855.41 = 326.87 : x
  2. Step 2: Convert to fraction form
    570.14/855.41 = 326.87/x
  3. Step 3: Cross multiply
    570.14x = 855.41 × 326.87
  4. Step 4: Simplify right side
    570.14x = 279,607.87
  5. Step 5: Solve for x
    x = 279,607.87/570.14
  6. Step 6: Final answer
    x = 490.42

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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.