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Finding the Fourth Proportional to 495.75, 684.17 and 299.25

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Solution

The fourth proportional to 495.75, 684.17 and 299.25 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.75 : 684.17 = 299.25 : x
  2. Step 2: Convert to fraction form
    495.75/684.17 = 299.25/x
  3. Step 3: Cross multiply
    495.75x = 684.17 × 299.25
  4. Step 4: Simplify right side
    495.75x = 204,737.87
  5. Step 5: Solve for x
    x = 204,737.87/495.75
  6. Step 6: Final answer
    x = 412.99

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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.