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Finding the Fourth Proportional to 488.25, 732.24 and 411.26

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Solution

The fourth proportional to 488.25, 732.24 and 411.26 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 732.24 = 411.26 : x
  2. Step 2: Convert to fraction form
    488.25/732.24 = 411.26/x
  3. Step 3: Cross multiply
    488.25x = 732.24 × 411.26
  4. Step 4: Simplify right side
    488.25x = 301,137.36
  5. Step 5: Solve for x
    x = 301,137.36/488.25
  6. Step 6: Final answer
    x = 616.77

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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.