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Finding the Fourth Proportional to 571.34, 855.09 and 327.50

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Solution

The fourth proportional to 571.34, 855.09 and 327.50 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.34 : 855.09 = 327.50 : x
  2. Step 2: Convert to fraction form
    571.34/855.09 = 327.50/x
  3. Step 3: Cross multiply
    571.34x = 855.09 × 327.50
  4. Step 4: Simplify right side
    571.34x = 280,041.98
  5. Step 5: Solve for x
    x = 280,041.98/571.34
  6. Step 6: Final answer
    x = 490.15

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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.