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Finding the Fourth Proportional to 596.31, 894.68 and 271.71

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Solution

The fourth proportional to 596.31, 894.68 and 271.71 is: 407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.31 : 894.68 = 271.71 : x
  2. Step 2: Convert to fraction form
    596.31/894.68 = 271.71/x
  3. Step 3: Cross multiply
    596.31x = 894.68 × 271.71
  4. Step 4: Simplify right side
    596.31x = 243,092.14
  5. Step 5: Solve for x
    x = 243,092.14/596.31
  6. Step 6: Final answer
    x = 407.66

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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.