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Finding the Fourth Proportional to 596.18, 893.54 and 271.10

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Solution

The fourth proportional to 596.18, 893.54 and 271.10 is: 406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 893.54 = 271.10 : x
  2. Step 2: Convert to fraction form
    596.18/893.54 = 271.10/x
  3. Step 3: Cross multiply
    596.18x = 893.54 × 271.10
  4. Step 4: Simplify right side
    596.18x = 242,238.69
  5. Step 5: Solve for x
    x = 242,238.69/596.18
  6. Step 6: Final answer
    x = 406.32

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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.