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Finding the Fourth Proportional to 358.28, 493.96 and 263.68

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Solution

The fourth proportional to 358.28, 493.96 and 263.68 is: 363.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 493.96 = 263.68 : x
  2. Step 2: Convert to fraction form
    358.28/493.96 = 263.68/x
  3. Step 3: Cross multiply
    358.28x = 493.96 × 263.68
  4. Step 4: Simplify right side
    358.28x = 130,247.37
  5. Step 5: Solve for x
    x = 130,247.37/358.28
  6. Step 6: Final answer
    x = 363.54

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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.