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Finding the Fourth Proportional to 438.69, 657.82 and 130.43

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Solution

The fourth proportional to 438.69, 657.82 and 130.43 is: 195.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.69 : 657.82 = 130.43 : x
  2. Step 2: Convert to fraction form
    438.69/657.82 = 130.43/x
  3. Step 3: Cross multiply
    438.69x = 657.82 × 130.43
  4. Step 4: Simplify right side
    438.69x = 85,799.46
  5. Step 5: Solve for x
    x = 85,799.46/438.69
  6. Step 6: Final answer
    x = 195.58

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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.