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Finding the Fourth Proportional to 495.71, 683.98 and 299.23

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Solution

The fourth proportional to 495.71, 683.98 and 299.23 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.71 : 683.98 = 299.23 : x
  2. Step 2: Convert to fraction form
    495.71/683.98 = 299.23/x
  3. Step 3: Cross multiply
    495.71x = 683.98 × 299.23
  4. Step 4: Simplify right side
    495.71x = 204,669.42
  5. Step 5: Solve for x
    x = 204,669.42/495.71
  6. Step 6: Final answer
    x = 412.88

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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.