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Finding the Fourth Proportional to 438.45, 657.42 and 191.55

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Solution

The fourth proportional to 438.45, 657.42 and 191.55 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 657.42 = 191.55 : x
  2. Step 2: Convert to fraction form
    438.45/657.42 = 191.55/x
  3. Step 3: Cross multiply
    438.45x = 657.42 × 191.55
  4. Step 4: Simplify right side
    438.45x = 125,927.93
  5. Step 5: Solve for x
    x = 125,927.93/438.45
  6. Step 6: Final answer
    x = 287.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.