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Finding the Fourth Proportional to 571.16, 855.96 and 310.82

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Solution

The fourth proportional to 571.16, 855.96 and 310.82 is: 465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 855.96 = 310.82 : x
  2. Step 2: Convert to fraction form
    571.16/855.96 = 310.82/x
  3. Step 3: Cross multiply
    571.16x = 855.96 × 310.82
  4. Step 4: Simplify right side
    571.16x = 266,049.49
  5. Step 5: Solve for x
    x = 266,049.49/571.16
  6. Step 6: Final answer
    x = 465.81

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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.