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Finding the Fourth Proportional to 302.46, 414.84 and 279.78

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Solution

The fourth proportional to 302.46, 414.84 and 279.78 is: 383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.46 : 414.84 = 279.78 : x
  2. Step 2: Convert to fraction form
    302.46/414.84 = 279.78/x
  3. Step 3: Cross multiply
    302.46x = 414.84 × 279.78
  4. Step 4: Simplify right side
    302.46x = 116,063.94
  5. Step 5: Solve for x
    x = 116,063.94/302.46
  6. Step 6: Final answer
    x = 383.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.