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Finding the Fourth Proportional to 596.76, 894.80 and 271.81

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Solution

The fourth proportional to 596.76, 894.80 and 271.81 is: 407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.76 : 894.80 = 271.81 : x
  2. Step 2: Convert to fraction form
    596.76/894.80 = 271.81/x
  3. Step 3: Cross multiply
    596.76x = 894.80 × 271.81
  4. Step 4: Simplify right side
    596.76x = 243,214.23
  5. Step 5: Solve for x
    x = 243,214.23/596.76
  6. Step 6: Final answer
    x = 407.56

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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.