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Finding the Fourth Proportional to 302.94, 451.78 and 271.35

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Solution

The fourth proportional to 302.94, 451.78 and 271.35 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 451.78 = 271.35 : x
  2. Step 2: Convert to fraction form
    302.94/451.78 = 271.35/x
  3. Step 3: Cross multiply
    302.94x = 451.78 × 271.35
  4. Step 4: Simplify right side
    302.94x = 122,589.82
  5. Step 5: Solve for x
    x = 122,589.82/302.94
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.