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Finding the Fourth Proportional to 438.29, 604.74 and 263.73

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Solution

The fourth proportional to 438.29, 604.74 and 263.73 is: 363.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.29 : 604.74 = 263.73 : x
  2. Step 2: Convert to fraction form
    438.29/604.74 = 263.73/x
  3. Step 3: Cross multiply
    438.29x = 604.74 × 263.73
  4. Step 4: Simplify right side
    438.29x = 159,491.34
  5. Step 5: Solve for x
    x = 159,491.34/438.29
  6. Step 6: Final answer
    x = 363.90

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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.