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Finding the Fourth Proportional to 571.72, 857.07 and 224.98

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Solution

The fourth proportional to 571.72, 857.07 and 224.98 is: 337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.72 : 857.07 = 224.98 : x
  2. Step 2: Convert to fraction form
    571.72/857.07 = 224.98/x
  3. Step 3: Cross multiply
    571.72x = 857.07 × 224.98
  4. Step 4: Simplify right side
    571.72x = 192,823.61
  5. Step 5: Solve for x
    x = 192,823.61/571.72
  6. Step 6: Final answer
    x = 337.27

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