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Finding the Fourth Proportional to 484.60, 726.79 and 176.46

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Solution

The fourth proportional to 484.60, 726.79 and 176.46 is: 264.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.60 : 726.79 = 176.46 : x
  2. Step 2: Convert to fraction form
    484.60/726.79 = 176.46/x
  3. Step 3: Cross multiply
    484.60x = 726.79 × 176.46
  4. Step 4: Simplify right side
    484.60x = 128,249.36
  5. Step 5: Solve for x
    x = 128,249.36/484.60
  6. Step 6: Final answer
    x = 264.65

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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.