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Finding the Fourth Proportional to 438.36, 604.76 and 263.67

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Solution

The fourth proportional to 438.36, 604.76 and 263.67 is: 363.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.36 : 604.76 = 263.67 : x
  2. Step 2: Convert to fraction form
    438.36/604.76 = 263.67/x
  3. Step 3: Cross multiply
    438.36x = 604.76 × 263.67
  4. Step 4: Simplify right side
    438.36x = 159,455.75
  5. Step 5: Solve for x
    x = 159,455.75/438.36
  6. Step 6: Final answer
    x = 363.76

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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.