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Finding the Fourth Proportional to 484.93, 726.02 and 446.66

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Solution

The fourth proportional to 484.93, 726.02 and 446.66 is: 668.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.93 : 726.02 = 446.66 : x
  2. Step 2: Convert to fraction form
    484.93/726.02 = 446.66/x
  3. Step 3: Cross multiply
    484.93x = 726.02 × 446.66
  4. Step 4: Simplify right side
    484.93x = 324,281.58
  5. Step 5: Solve for x
    x = 324,281.58/484.93
  6. Step 6: Final answer
    x = 668.72

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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.