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Finding the Fourth Proportional to 571.98, 857.24 and 311.43

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Solution

The fourth proportional to 571.98, 857.24 and 311.43 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.98 : 857.24 = 311.43 : x
  2. Step 2: Convert to fraction form
    571.98/857.24 = 311.43/x
  3. Step 3: Cross multiply
    571.98x = 857.24 × 311.43
  4. Step 4: Simplify right side
    571.98x = 266,966.67
  5. Step 5: Solve for x
    x = 266,966.67/571.98
  6. Step 6: Final answer
    x = 466.74

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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.