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Finding the Fourth Proportional to 438.04, 604.32 and 263.44

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Solution

The fourth proportional to 438.04, 604.32 and 263.44 is: 363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.04 : 604.32 = 263.44 : x
  2. Step 2: Convert to fraction form
    438.04/604.32 = 263.44/x
  3. Step 3: Cross multiply
    438.04x = 604.32 × 263.44
  4. Step 4: Simplify right side
    438.04x = 159,202.06
  5. Step 5: Solve for x
    x = 159,202.06/438.04
  6. Step 6: Final answer
    x = 363.44

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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.