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Finding the Fourth Proportional to 495.96, 684.42 and 296.70

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Solution

The fourth proportional to 495.96, 684.42 and 296.70 is: 409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.96 : 684.42 = 296.70 : x
  2. Step 2: Convert to fraction form
    495.96/684.42 = 296.70/x
  3. Step 3: Cross multiply
    495.96x = 684.42 × 296.70
  4. Step 4: Simplify right side
    495.96x = 203,067.41
  5. Step 5: Solve for x
    x = 203,067.41/495.96
  6. Step 6: Final answer
    x = 409.44

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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.