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Finding the Fourth Proportional to 488.48, 732.88 and 272

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Solution

The fourth proportional to 488.48, 732.88 and 272 is: 408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 732.88 = 272 : x
  2. Step 2: Convert to fraction form
    488.48/732.88 = 272/x
  3. Step 3: Cross multiply
    488.48x = 732.88 × 272
  4. Step 4: Simplify right side
    488.48x = 199,343.36
  5. Step 5: Solve for x
    x = 199,343.36/488.48
  6. Step 6: Final answer
    x = 408.09

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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.