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Finding the Fourth Proportional to 438.10, 604.62 and 263.44

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Solution

The fourth proportional to 438.10, 604.62 and 263.44 is: 363.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.10 : 604.62 = 263.44 : x
  2. Step 2: Convert to fraction form
    438.10/604.62 = 263.44/x
  3. Step 3: Cross multiply
    438.10x = 604.62 × 263.44
  4. Step 4: Simplify right side
    438.10x = 159,281.09
  5. Step 5: Solve for x
    x = 159,281.09/438.10
  6. Step 6: Final answer
    x = 363.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.