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Finding the Fourth Proportional to 305.94, 457.56 and 271.92

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Solution

The fourth proportional to 305.94, 457.56 and 271.92 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.94 : 457.56 = 271.92 : x
  2. Step 2: Convert to fraction form
    305.94/457.56 = 271.92/x
  3. Step 3: Cross multiply
    305.94x = 457.56 × 271.92
  4. Step 4: Simplify right side
    305.94x = 124,419.72
  5. Step 5: Solve for x
    x = 124,419.72/305.94
  6. Step 6: Final answer
    x = 406.68

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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.