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Finding the Fourth Proportional to 488.14, 673.65 and 289.03

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Solution

The fourth proportional to 488.14, 673.65 and 289.03 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.14 : 673.65 = 289.03 : x
  2. Step 2: Convert to fraction form
    488.14/673.65 = 289.03/x
  3. Step 3: Cross multiply
    488.14x = 673.65 × 289.03
  4. Step 4: Simplify right side
    488.14x = 194,705.06
  5. Step 5: Solve for x
    x = 194,705.06/488.14
  6. Step 6: Final answer
    x = 398.87

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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.