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Finding the Fourth Proportional to 454.84, 682.28 and 299

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Solution

The fourth proportional to 454.84, 682.28 and 299 is: 448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.84 : 682.28 = 299 : x
  2. Step 2: Convert to fraction form
    454.84/682.28 = 299/x
  3. Step 3: Cross multiply
    454.84x = 682.28 × 299
  4. Step 4: Simplify right side
    454.84x = 204,001.72
  5. Step 5: Solve for x
    x = 204,001.72/454.84
  6. Step 6: Final answer
    x = 448.51

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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.