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Finding the Fourth Proportional to 495.61, 684.03 and 299.23

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Solution

The fourth proportional to 495.61, 684.03 and 299.23 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.61 : 684.03 = 299.23 : x
  2. Step 2: Convert to fraction form
    495.61/684.03 = 299.23/x
  3. Step 3: Cross multiply
    495.61x = 684.03 × 299.23
  4. Step 4: Simplify right side
    495.61x = 204,682.30
  5. Step 5: Solve for x
    x = 204,682.30/495.61
  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.