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Finding the Fourth Proportional to 483.22, 726 and 403.84

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Solution

The fourth proportional to 483.22, 726 and 403.84 is: 606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.22 : 726 = 403.84 : x
  2. Step 2: Convert to fraction form
    483.22/726 = 403.84/x
  3. Step 3: Cross multiply
    483.22x = 726 × 403.84
  4. Step 4: Simplify right side
    483.22x = 293,187.84
  5. Step 5: Solve for x
    x = 293,187.84/483.22
  6. Step 6: Final answer
    x = 606.74

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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.