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Finding the Fourth Proportional to 301.36, 453.80 and 263.31

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Solution

The fourth proportional to 301.36, 453.80 and 263.31 is: 396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 453.80 = 263.31 : x
  2. Step 2: Convert to fraction form
    301.36/453.80 = 263.31/x
  3. Step 3: Cross multiply
    301.36x = 453.80 × 263.31
  4. Step 4: Simplify right side
    301.36x = 119,490.08
  5. Step 5: Solve for x
    x = 119,490.08/301.36
  6. Step 6: Final answer
    x = 396.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.