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Finding the Fourth Proportional to 438.39, 657.58 and 178.53

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Solution

The fourth proportional to 438.39, 657.58 and 178.53 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.39 : 657.58 = 178.53 : x
  2. Step 2: Convert to fraction form
    438.39/657.58 = 178.53/x
  3. Step 3: Cross multiply
    438.39x = 657.58 × 178.53
  4. Step 4: Simplify right side
    438.39x = 117,396.41
  5. Step 5: Solve for x
    x = 117,396.41/438.39
  6. Step 6: Final answer
    x = 267.79

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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.