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Finding the Fourth Proportional to 453.92, 681.36 and 271.76

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Solution

The fourth proportional to 453.92, 681.36 and 271.76 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.92 : 681.36 = 271.76 : x
  2. Step 2: Convert to fraction form
    453.92/681.36 = 271.76/x
  3. Step 3: Cross multiply
    453.92x = 681.36 × 271.76
  4. Step 4: Simplify right side
    453.92x = 185,166.39
  5. Step 5: Solve for x
    x = 185,166.39/453.92
  6. Step 6: Final answer
    x = 407.93

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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.