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Finding the Fourth Proportional to 484.66, 726.99 and 410.84

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Solution

The fourth proportional to 484.66, 726.99 and 410.84 is: 616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.66 : 726.99 = 410.84 : x
  2. Step 2: Convert to fraction form
    484.66/726.99 = 410.84/x
  3. Step 3: Cross multiply
    484.66x = 726.99 × 410.84
  4. Step 4: Simplify right side
    484.66x = 298,676.57
  5. Step 5: Solve for x
    x = 298,676.57/484.66
  6. Step 6: Final answer
    x = 616.26

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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.