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Finding the Fourth Proportional to 596.37, 894.27 and 271.53

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Solution

The fourth proportional to 596.37, 894.27 and 271.53 is: 407.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.37 : 894.27 = 271.53 : x
  2. Step 2: Convert to fraction form
    596.37/894.27 = 271.53/x
  3. Step 3: Cross multiply
    596.37x = 894.27 × 271.53
  4. Step 4: Simplify right side
    596.37x = 242,821.13
  5. Step 5: Solve for x
    x = 242,821.13/596.37
  6. Step 6: Final answer
    x = 407.17

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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.