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Finding the Fourth Proportional to 495.72, 684.10 and 299.19

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Solution

The fourth proportional to 495.72, 684.10 and 299.19 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.72 : 684.10 = 299.19 : x
  2. Step 2: Convert to fraction form
    495.72/684.10 = 299.19/x
  3. Step 3: Cross multiply
    495.72x = 684.10 × 299.19
  4. Step 4: Simplify right side
    495.72x = 204,675.88
  5. Step 5: Solve for x
    x = 204,675.88/495.72
  6. Step 6: Final answer
    x = 412.89

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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.