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Finding the Fourth Proportional to 596.66, 894.91 and 271.96

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Solution

The fourth proportional to 596.66, 894.91 and 271.96 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.66 : 894.91 = 271.96 : x
  2. Step 2: Convert to fraction form
    596.66/894.91 = 271.96/x
  3. Step 3: Cross multiply
    596.66x = 894.91 × 271.96
  4. Step 4: Simplify right side
    596.66x = 243,379.72
  5. Step 5: Solve for x
    x = 243,379.72/596.66
  6. Step 6: Final answer
    x = 407.90

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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.