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Finding the Fourth Proportional to 488.54, 673.83 and 341.21

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Solution

The fourth proportional to 488.54, 673.83 and 341.21 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.54 : 673.83 = 341.21 : x
  2. Step 2: Convert to fraction form
    488.54/673.83 = 341.21/x
  3. Step 3: Cross multiply
    488.54x = 673.83 × 341.21
  4. Step 4: Simplify right side
    488.54x = 229,917.53
  5. Step 5: Solve for x
    x = 229,917.53/488.54
  6. Step 6: Final answer
    x = 470.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.