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Finding the Fourth Proportional to 488.34, 673.89 and 267.25

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Solution

The fourth proportional to 488.34, 673.89 and 267.25 is: 368.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.34 : 673.89 = 267.25 : x
  2. Step 2: Convert to fraction form
    488.34/673.89 = 267.25/x
  3. Step 3: Cross multiply
    488.34x = 673.89 × 267.25
  4. Step 4: Simplify right side
    488.34x = 180,098.33
  5. Step 5: Solve for x
    x = 180,098.33/488.34
  6. Step 6: Final answer
    x = 368.79

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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.