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Finding the Fourth Proportional to 495.38, 683.64 and 299

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Solution

The fourth proportional to 495.38, 683.64 and 299 is: 412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.38 : 683.64 = 299 : x
  2. Step 2: Convert to fraction form
    495.38/683.64 = 299/x
  3. Step 3: Cross multiply
    495.38x = 683.64 × 299
  4. Step 4: Simplify right side
    495.38x = 204,408.36
  5. Step 5: Solve for x
    x = 204,408.36/495.38
  6. Step 6: Final answer
    x = 412.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.