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Finding the Fourth Proportional to 495.78, 684.10 and 299.26

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Solution

The fourth proportional to 495.78, 684.10 and 299.26 is: 412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.78 : 684.10 = 299.26 : x
  2. Step 2: Convert to fraction form
    495.78/684.10 = 299.26/x
  3. Step 3: Cross multiply
    495.78x = 684.10 × 299.26
  4. Step 4: Simplify right side
    495.78x = 204,723.77
  5. Step 5: Solve for x
    x = 204,723.77/495.78
  6. Step 6: Final answer
    x = 412.93

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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.