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Finding the Fourth Proportional to 304.70, 457.56 and 271.82

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Solution

The fourth proportional to 304.70, 457.56 and 271.82 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.70 : 457.56 = 271.82 : x
  2. Step 2: Convert to fraction form
    304.70/457.56 = 271.82/x
  3. Step 3: Cross multiply
    304.70x = 457.56 × 271.82
  4. Step 4: Simplify right side
    304.70x = 124,371.67
  5. Step 5: Solve for x
    x = 124,371.67/304.70
  6. Step 6: Final answer
    x = 408.18

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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.