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Finding the Fourth Proportional to 488.76, 732.96 and 245.12

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Solution

The fourth proportional to 488.76, 732.96 and 245.12 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.76 : 732.96 = 245.12 : x
  2. Step 2: Convert to fraction form
    488.76/732.96 = 245.12/x
  3. Step 3: Cross multiply
    488.76x = 732.96 × 245.12
  4. Step 4: Simplify right side
    488.76x = 179,659.49
  5. Step 5: Solve for x
    x = 179,659.49/488.76
  6. Step 6: Final answer
    x = 367.59

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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.