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Finding the Fourth Proportional to 306.84, 457.44 and 280.92

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Solution

The fourth proportional to 306.84, 457.44 and 280.92 is: 418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.84 : 457.44 = 280.92 : x
  2. Step 2: Convert to fraction form
    306.84/457.44 = 280.92/x
  3. Step 3: Cross multiply
    306.84x = 457.44 × 280.92
  4. Step 4: Simplify right side
    306.84x = 128,504.04
  5. Step 5: Solve for x
    x = 128,504.04/306.84
  6. Step 6: Final answer
    x = 418.80

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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.